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Finding the Fourth Proportional to 529.92, 731.29 and 293.87

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Solution

The fourth proportional to 529.92, 731.29 and 293.87 is: 405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.92 : 731.29 = 293.87 : x
  2. Step 2: Convert to fraction form
    529.92/731.29 = 293.87/x
  3. Step 3: Cross multiply
    529.92x = 731.29 × 293.87
  4. Step 4: Simplify right side
    529.92x = 214,905.57
  5. Step 5: Solve for x
    x = 214,905.57/529.92
  6. Step 6: Final answer
    x = 405.54

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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.