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Finding the Fourth Proportional to 666.34, 998.53 and 418.95

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Solution

The fourth proportional to 666.34, 998.53 and 418.95 is: 627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.34 : 998.53 = 418.95 : x
  2. Step 2: Convert to fraction form
    666.34/998.53 = 418.95/x
  3. Step 3: Cross multiply
    666.34x = 998.53 × 418.95
  4. Step 4: Simplify right side
    666.34x = 418,333.10
  5. Step 5: Solve for x
    x = 418,333.10/666.34
  6. Step 6: Final answer
    x = 627.81

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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.