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Finding the Fourth Proportional to 431.92, 646.32 and 362.80

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Solution

The fourth proportional to 431.92, 646.32 and 362.80 is: 542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.92 : 646.32 = 362.80 : x
  2. Step 2: Convert to fraction form
    431.92/646.32 = 362.80/x
  3. Step 3: Cross multiply
    431.92x = 646.32 × 362.80
  4. Step 4: Simplify right side
    431.92x = 234,484.90
  5. Step 5: Solve for x
    x = 234,484.90/431.92
  6. Step 6: Final answer
    x = 542.89

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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.