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Finding the Fourth Proportional to 487.67, 726.39 and 446.76

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Solution

The fourth proportional to 487.67, 726.39 and 446.76 is: 665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.67 : 726.39 = 446.76 : x
  2. Step 2: Convert to fraction form
    487.67/726.39 = 446.76/x
  3. Step 3: Cross multiply
    487.67x = 726.39 × 446.76
  4. Step 4: Simplify right side
    487.67x = 324,522.00
  5. Step 5: Solve for x
    x = 324,522.00/487.67
  6. Step 6: Final answer
    x = 665.46

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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.