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Finding the Fourth Proportional to 527.70, 726.56 and 448.86

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Solution

The fourth proportional to 527.70, 726.56 and 448.86 is: 618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 726.56 = 448.86 : x
  2. Step 2: Convert to fraction form
    527.70/726.56 = 448.86/x
  3. Step 3: Cross multiply
    527.70x = 726.56 × 448.86
  4. Step 4: Simplify right side
    527.70x = 326,123.72
  5. Step 5: Solve for x
    x = 326,123.72/527.70
  6. Step 6: Final answer
    x = 618.01

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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.