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Finding the Fourth Proportional to 525.60, 725.33 and 292.73

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Solution

The fourth proportional to 525.60, 725.33 and 292.73 is: 403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 725.33 = 292.73 : x
  2. Step 2: Convert to fraction form
    525.60/725.33 = 292.73/x
  3. Step 3: Cross multiply
    525.60x = 725.33 × 292.73
  4. Step 4: Simplify right side
    525.60x = 212,325.85
  5. Step 5: Solve for x
    x = 212,325.85/525.60
  6. Step 6: Final answer
    x = 403.97

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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.