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Finding the Fourth Proportional to 525.62, 725.20 and 304.56

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Solution

The fourth proportional to 525.62, 725.20 and 304.56 is: 420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.62 : 725.20 = 304.56 : x
  2. Step 2: Convert to fraction form
    525.62/725.20 = 304.56/x
  3. Step 3: Cross multiply
    525.62x = 725.20 × 304.56
  4. Step 4: Simplify right side
    525.62x = 220,866.91
  5. Step 5: Solve for x
    x = 220,866.91/525.62
  6. Step 6: Final answer
    x = 420.20

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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.