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Finding the Fourth Proportional to 406.69, 560.94 and 400.61

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Solution

The fourth proportional to 406.69, 560.94 and 400.61 is: 552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 560.94 = 400.61 : x
  2. Step 2: Convert to fraction form
    406.69/560.94 = 400.61/x
  3. Step 3: Cross multiply
    406.69x = 560.94 × 400.61
  4. Step 4: Simplify right side
    406.69x = 224,718.07
  5. Step 5: Solve for x
    x = 224,718.07/406.69
  6. Step 6: Final answer
    x = 552.56

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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.