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Finding the Fourth Proportional to 529.20, 791.64 and 432

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Solution

The fourth proportional to 529.20, 791.64 and 432 is: 646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.20 : 791.64 = 432 : x
  2. Step 2: Convert to fraction form
    529.20/791.64 = 432/x
  3. Step 3: Cross multiply
    529.20x = 791.64 × 432
  4. Step 4: Simplify right side
    529.20x = 341,988.48
  5. Step 5: Solve for x
    x = 341,988.48/529.20
  6. Step 6: Final answer
    x = 646.24

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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.