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Finding the Fourth Proportional to 666.95, 920.11 and 418.10

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Solution

The fourth proportional to 666.95, 920.11 and 418.10 is: 576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.95 : 920.11 = 418.10 : x
  2. Step 2: Convert to fraction form
    666.95/920.11 = 418.10/x
  3. Step 3: Cross multiply
    666.95x = 920.11 × 418.10
  4. Step 4: Simplify right side
    666.95x = 384,695.90
  5. Step 5: Solve for x
    x = 384,695.90/666.95
  6. Step 6: Final answer
    x = 576.80

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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.