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Finding the Fourth Proportional to 588.47, 812.66 and 449.55

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Solution

The fourth proportional to 588.47, 812.66 and 449.55 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.47 : 812.66 = 449.55 : x
  2. Step 2: Convert to fraction form
    588.47/812.66 = 449.55/x
  3. Step 3: Cross multiply
    588.47x = 812.66 × 449.55
  4. Step 4: Simplify right side
    588.47x = 365,329.06
  5. Step 5: Solve for x
    x = 365,329.06/588.47
  6. Step 6: Final answer
    x = 620.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.