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Finding the Fourth Proportional to 487.92, 732.60 and 430.68

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Solution

The fourth proportional to 487.92, 732.60 and 430.68 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.92 : 732.60 = 430.68 : x
  2. Step 2: Convert to fraction form
    487.92/732.60 = 430.68/x
  3. Step 3: Cross multiply
    487.92x = 732.60 × 430.68
  4. Step 4: Simplify right side
    487.92x = 315,516.17
  5. Step 5: Solve for x
    x = 315,516.17/487.92
  6. Step 6: Final answer
    x = 646.66

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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.