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Finding the Fourth Proportional to 527.10, 725.66 and 449.02

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Solution

The fourth proportional to 527.10, 725.66 and 449.02 is: 618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.10 : 725.66 = 449.02 : x
  2. Step 2: Convert to fraction form
    527.10/725.66 = 449.02/x
  3. Step 3: Cross multiply
    527.10x = 725.66 × 449.02
  4. Step 4: Simplify right side
    527.10x = 325,835.85
  5. Step 5: Solve for x
    x = 325,835.85/527.10
  6. Step 6: Final answer
    x = 618.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.