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Finding the Fourth Proportional to 488.72, 673.08 and 458.48

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Solution

The fourth proportional to 488.72, 673.08 and 458.48 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.72 : 673.08 = 458.48 : x
  2. Step 2: Convert to fraction form
    488.72/673.08 = 458.48/x
  3. Step 3: Cross multiply
    488.72x = 673.08 × 458.48
  4. Step 4: Simplify right side
    488.72x = 308,593.72
  5. Step 5: Solve for x
    x = 308,593.72/488.72
  6. Step 6: Final answer
    x = 631.43

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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.