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Finding the Fourth Proportional to 529.82, 731.14 and 296.95

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Solution

The fourth proportional to 529.82, 731.14 and 296.95 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.82 : 731.14 = 296.95 : x
  2. Step 2: Convert to fraction form
    529.82/731.14 = 296.95/x
  3. Step 3: Cross multiply
    529.82x = 731.14 × 296.95
  4. Step 4: Simplify right side
    529.82x = 217,112.02
  5. Step 5: Solve for x
    x = 217,112.02/529.82
  6. Step 6: Final answer
    x = 409.78

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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.