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Finding the Fourth Proportional to 529.72, 731.04 and 293.69

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Solution

The fourth proportional to 529.72, 731.04 and 293.69 is: 405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 731.04 = 293.69 : x
  2. Step 2: Convert to fraction form
    529.72/731.04 = 293.69/x
  3. Step 3: Cross multiply
    529.72x = 731.04 × 293.69
  4. Step 4: Simplify right side
    529.72x = 214,700.97
  5. Step 5: Solve for x
    x = 214,700.97/529.72
  6. Step 6: Final answer
    x = 405.31

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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.