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Finding the Fourth Proportional to 488.66, 731.24 and 456.07

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Solution

The fourth proportional to 488.66, 731.24 and 456.07 is: 682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.66 : 731.24 = 456.07 : x
  2. Step 2: Convert to fraction form
    488.66/731.24 = 456.07/x
  3. Step 3: Cross multiply
    488.66x = 731.24 × 456.07
  4. Step 4: Simplify right side
    488.66x = 333,494.35
  5. Step 5: Solve for x
    x = 333,494.35/488.66
  6. Step 6: Final answer
    x = 682.47

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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.