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Finding the Fourth Proportional to 666.38, 997.68 and 435.53

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Solution

The fourth proportional to 666.38, 997.68 and 435.53 is: 652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.38 : 997.68 = 435.53 : x
  2. Step 2: Convert to fraction form
    666.38/997.68 = 435.53/x
  3. Step 3: Cross multiply
    666.38x = 997.68 × 435.53
  4. Step 4: Simplify right side
    666.38x = 434,519.57
  5. Step 5: Solve for x
    x = 434,519.57/666.38
  6. Step 6: Final answer
    x = 652.06

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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.