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Finding the Fourth Proportional to 525.35, 724.97 and 292.47

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Solution

The fourth proportional to 525.35, 724.97 and 292.47 is: 403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.35 : 724.97 = 292.47 : x
  2. Step 2: Convert to fraction form
    525.35/724.97 = 292.47/x
  3. Step 3: Cross multiply
    525.35x = 724.97 × 292.47
  4. Step 4: Simplify right side
    525.35x = 212,031.98
  5. Step 5: Solve for x
    x = 212,031.98/525.35
  6. Step 6: Final answer
    x = 403.60

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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.