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Finding the Fourth Proportional to 488.16, 728.33 and 451.71

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Solution

The fourth proportional to 488.16, 728.33 and 451.71 is: 673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 728.33 = 451.71 : x
  2. Step 2: Convert to fraction form
    488.16/728.33 = 451.71/x
  3. Step 3: Cross multiply
    488.16x = 728.33 × 451.71
  4. Step 4: Simplify right side
    488.16x = 328,991.69
  5. Step 5: Solve for x
    x = 328,991.69/488.16
  6. Step 6: Final answer
    x = 673.94

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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.