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Finding the Fourth Proportional to 525.70, 725.46 and 292.82

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Solution

The fourth proportional to 525.70, 725.46 and 292.82 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.70 : 725.46 = 292.82 : x
  2. Step 2: Convert to fraction form
    525.70/725.46 = 292.82/x
  3. Step 3: Cross multiply
    525.70x = 725.46 × 292.82
  4. Step 4: Simplify right side
    525.70x = 212,429.20
  5. Step 5: Solve for x
    x = 212,429.20/525.70
  6. Step 6: Final answer
    x = 404.09

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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.