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Finding the Fourth Proportional to 525.31, 725.02 and 328.88

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Solution

The fourth proportional to 525.31, 725.02 and 328.88 is: 453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.31 : 725.02 = 328.88 : x
  2. Step 2: Convert to fraction form
    525.31/725.02 = 328.88/x
  3. Step 3: Cross multiply
    525.31x = 725.02 × 328.88
  4. Step 4: Simplify right side
    525.31x = 238,445.57
  5. Step 5: Solve for x
    x = 238,445.57/525.31
  6. Step 6: Final answer
    x = 453.92

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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.