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Finding the Fourth Proportional to 525.48, 725.10 and 292.62

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Solution

The fourth proportional to 525.48, 725.10 and 292.62 is: 403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.48 : 725.10 = 292.62 : x
  2. Step 2: Convert to fraction form
    525.48/725.10 = 292.62/x
  3. Step 3: Cross multiply
    525.48x = 725.10 × 292.62
  4. Step 4: Simplify right side
    525.48x = 212,178.76
  5. Step 5: Solve for x
    x = 212,178.76/525.48
  6. Step 6: Final answer
    x = 403.78

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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.