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Finding the Fourth Proportional to 549.29, 825.15 and 532.01

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Solution

The fourth proportional to 549.29, 825.15 and 532.01 is: 799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.29 : 825.15 = 532.01 : x
  2. Step 2: Convert to fraction form
    549.29/825.15 = 532.01/x
  3. Step 3: Cross multiply
    549.29x = 825.15 × 532.01
  4. Step 4: Simplify right side
    549.29x = 438,988.05
  5. Step 5: Solve for x
    x = 438,988.05/549.29
  6. Step 6: Final answer
    x = 799.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.