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Finding the Fourth Proportional to 529.90, 731.27 and 293.85

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Solution

The fourth proportional to 529.90, 731.27 and 293.85 is: 405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.90 : 731.27 = 293.85 : x
  2. Step 2: Convert to fraction form
    529.90/731.27 = 293.85/x
  3. Step 3: Cross multiply
    529.90x = 731.27 × 293.85
  4. Step 4: Simplify right side
    529.90x = 214,884.42
  5. Step 5: Solve for x
    x = 214,884.42/529.90
  6. Step 6: Final answer
    x = 405.52

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