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Finding the Fourth Proportional to 525.83, 725.67 and 292.97

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Solution

The fourth proportional to 525.83, 725.67 and 292.97 is: 404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.83 : 725.67 = 292.97 : x
  2. Step 2: Convert to fraction form
    525.83/725.67 = 292.97/x
  3. Step 3: Cross multiply
    525.83x = 725.67 × 292.97
  4. Step 4: Simplify right side
    525.83x = 212,598.08
  5. Step 5: Solve for x
    x = 212,598.08/525.83
  6. Step 6: Final answer
    x = 404.31

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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.