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Finding the Fourth Proportional to 666.09, 998.76 and 458.10

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Solution

The fourth proportional to 666.09, 998.76 and 458.10 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.09 : 998.76 = 458.10 : x
  2. Step 2: Convert to fraction form
    666.09/998.76 = 458.10/x
  3. Step 3: Cross multiply
    666.09x = 998.76 × 458.10
  4. Step 4: Simplify right side
    666.09x = 457,531.96
  5. Step 5: Solve for x
    x = 457,531.96/666.09
  6. Step 6: Final answer
    x = 686.89

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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.