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Finding the Fourth Proportional to 458.08, 628.03 and 449.89

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Solution

The fourth proportional to 458.08, 628.03 and 449.89 is: 616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.08 : 628.03 = 449.89 : x
  2. Step 2: Convert to fraction form
    458.08/628.03 = 449.89/x
  3. Step 3: Cross multiply
    458.08x = 628.03 × 449.89
  4. Step 4: Simplify right side
    458.08x = 282,544.42
  5. Step 5: Solve for x
    x = 282,544.42/458.08
  6. Step 6: Final answer
    x = 616.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.