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Finding the Fourth Proportional to 971.02, 1,456.53 and 321.67

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Solution

The fourth proportional to 971.02, 1,456.53 and 321.67 is: 482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.02 : 1,456.53 = 321.67 : x
  2. Step 2: Convert to fraction form
    971.02/1,456.53 = 321.67/x
  3. Step 3: Cross multiply
    971.02x = 1,456.53 × 321.67
  4. Step 4: Simplify right side
    971.02x = 468,522.01
  5. Step 5: Solve for x
    x = 468,522.01/971.02
  6. Step 6: Final answer
    x = 482.51

Related Problems

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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.