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Finding the Fourth Proportional to 964.23, 1,446.48 and 306.11

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Solution

The fourth proportional to 964.23, 1,446.48 and 306.11 is: 459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.23 : 1,446.48 = 306.11 : x
  2. Step 2: Convert to fraction form
    964.23/1,446.48 = 306.11/x
  3. Step 3: Cross multiply
    964.23x = 1,446.48 × 306.11
  4. Step 4: Simplify right side
    964.23x = 442,774.76
  5. Step 5: Solve for x
    x = 442,774.76/964.23
  6. Step 6: Final answer
    x = 459.20

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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.