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Finding the Fourth Proportional to 964.10, 1,446.12 and 233.67

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Solution

The fourth proportional to 964.10, 1,446.12 and 233.67 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.10 : 1,446.12 = 233.67 : x
  2. Step 2: Convert to fraction form
    964.10/1,446.12 = 233.67/x
  3. Step 3: Cross multiply
    964.10x = 1,446.12 × 233.67
  4. Step 4: Simplify right side
    964.10x = 337,914.86
  5. Step 5: Solve for x
    x = 337,914.86/964.10
  6. Step 6: Final answer
    x = 350.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.