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Finding the Fourth Proportional to 486.32, 726.47 and 437.49

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Solution

The fourth proportional to 486.32, 726.47 and 437.49 is: 653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 726.47 = 437.49 : x
  2. Step 2: Convert to fraction form
    486.32/726.47 = 437.49/x
  3. Step 3: Cross multiply
    486.32x = 726.47 × 437.49
  4. Step 4: Simplify right side
    486.32x = 317,821.17
  5. Step 5: Solve for x
    x = 317,821.17/486.32
  6. Step 6: Final answer
    x = 653.53

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Why These Related Problems?

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