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Finding the Fourth Proportional to 529.71, 794.55 and 159.52

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Solution

The fourth proportional to 529.71, 794.55 and 159.52 is: 239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.71 : 794.55 = 159.52 : x
  2. Step 2: Convert to fraction form
    529.71/794.55 = 159.52/x
  3. Step 3: Cross multiply
    529.71x = 794.55 × 159.52
  4. Step 4: Simplify right side
    529.71x = 126,748.21
  5. Step 5: Solve for x
    x = 126,748.21/529.71
  6. Step 6: Final answer
    x = 239.28

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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.