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Finding the Fourth Proportional to 529.80, 731.04 and 296.88

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Solution

The fourth proportional to 529.80, 731.04 and 296.88 is: 409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.80 : 731.04 = 296.88 : x
  2. Step 2: Convert to fraction form
    529.80/731.04 = 296.88/x
  3. Step 3: Cross multiply
    529.80x = 731.04 × 296.88
  4. Step 4: Simplify right side
    529.80x = 217,031.16
  5. Step 5: Solve for x
    x = 217,031.16/529.80
  6. Step 6: Final answer
    x = 409.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.