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Finding the Fourth Proportional to 666.86, 920.25 and 401.30

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Solution

The fourth proportional to 666.86, 920.25 and 401.30 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.86 : 920.25 = 401.30 : x
  2. Step 2: Convert to fraction form
    666.86/920.25 = 401.30/x
  3. Step 3: Cross multiply
    666.86x = 920.25 × 401.30
  4. Step 4: Simplify right side
    666.86x = 369,291.72
  5. Step 5: Solve for x
    x = 369,291.72/666.86
  6. Step 6: Final answer
    x = 553.78

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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.