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Finding the Fourth Proportional to 458.05, 686.80 and 176.49

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Solution

The fourth proportional to 458.05, 686.80 and 176.49 is: 264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.05 : 686.80 = 176.49 : x
  2. Step 2: Convert to fraction form
    458.05/686.80 = 176.49/x
  3. Step 3: Cross multiply
    458.05x = 686.80 × 176.49
  4. Step 4: Simplify right side
    458.05x = 121,213.33
  5. Step 5: Solve for x
    x = 121,213.33/458.05
  6. Step 6: Final answer
    x = 264.63

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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.