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Finding the Fourth Proportional to 666.86, 920.42 and 404.82

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Solution

The fourth proportional to 666.86, 920.42 and 404.82 is: 558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.86 : 920.42 = 404.82 : x
  2. Step 2: Convert to fraction form
    666.86/920.42 = 404.82/x
  3. Step 3: Cross multiply
    666.86x = 920.42 × 404.82
  4. Step 4: Simplify right side
    666.86x = 372,602.40
  5. Step 5: Solve for x
    x = 372,602.40/666.86
  6. Step 6: Final answer
    x = 558.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.