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Finding the Fourth Proportional to 666.86, 920.31 and 442.41

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Solution

The fourth proportional to 666.86, 920.31 and 442.41 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.86 : 920.31 = 442.41 : x
  2. Step 2: Convert to fraction form
    666.86/920.31 = 442.41/x
  3. Step 3: Cross multiply
    666.86x = 920.31 × 442.41
  4. Step 4: Simplify right side
    666.86x = 407,154.35
  5. Step 5: Solve for x
    x = 407,154.35/666.86
  6. Step 6: Final answer
    x = 610.55

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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.