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Finding the Fourth Proportional to 437.86, 652.92 and 377.38

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Solution

The fourth proportional to 437.86, 652.92 and 377.38 is: 562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.86 : 652.92 = 377.38 : x
  2. Step 2: Convert to fraction form
    437.86/652.92 = 377.38/x
  3. Step 3: Cross multiply
    437.86x = 652.92 × 377.38
  4. Step 4: Simplify right side
    437.86x = 246,398.95
  5. Step 5: Solve for x
    x = 246,398.95/437.86
  6. Step 6: Final answer
    x = 562.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.