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Finding the Fourth Proportional to 529.75, 731.13 and 293.75

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Solution

The fourth proportional to 529.75, 731.13 and 293.75 is: 405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.75 : 731.13 = 293.75 : x
  2. Step 2: Convert to fraction form
    529.75/731.13 = 293.75/x
  3. Step 3: Cross multiply
    529.75x = 731.13 × 293.75
  4. Step 4: Simplify right side
    529.75x = 214,772.88
  5. Step 5: Solve for x
    x = 214,772.88/529.75
  6. Step 6: Final answer
    x = 405.42

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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.