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Finding the Fourth Proportional to 529.74, 731.05 and 293.69

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Solution

The fourth proportional to 529.74, 731.05 and 293.69 is: 405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 731.05 = 293.69 : x
  2. Step 2: Convert to fraction form
    529.74/731.05 = 293.69/x
  3. Step 3: Cross multiply
    529.74x = 731.05 × 293.69
  4. Step 4: Simplify right side
    529.74x = 214,703.17
  5. Step 5: Solve for x
    x = 214,703.17/529.74
  6. Step 6: Final answer
    x = 405.30

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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.