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Finding the Fourth Proportional to 869.76, 1,305.20 and 437.28

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Solution

The fourth proportional to 869.76, 1,305.20 and 437.28 is: 656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.76 : 1,305.20 = 437.28 : x
  2. Step 2: Convert to fraction form
    869.76/1,305.20 = 437.28/x
  3. Step 3: Cross multiply
    869.76x = 1,305.20 × 437.28
  4. Step 4: Simplify right side
    869.76x = 570,737.86
  5. Step 5: Solve for x
    x = 570,737.86/869.76
  6. Step 6: Final answer
    x = 656.20

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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.