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Finding the Fourth Proportional to 666.80, 920.40 and 414.86

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Solution

The fourth proportional to 666.80, 920.40 and 414.86 is: 572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.80 : 920.40 = 414.86 : x
  2. Step 2: Convert to fraction form
    666.80/920.40 = 414.86/x
  3. Step 3: Cross multiply
    666.80x = 920.40 × 414.86
  4. Step 4: Simplify right side
    666.80x = 381,830.99
  5. Step 5: Solve for x
    x = 381,830.99/666.80
  6. Step 6: Final answer
    x = 572.63

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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.