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Finding the Fourth Proportional to 406.26, 560.25 and 289.62

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Solution

The fourth proportional to 406.26, 560.25 and 289.62 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.26 : 560.25 = 289.62 : x
  2. Step 2: Convert to fraction form
    406.26/560.25 = 289.62/x
  3. Step 3: Cross multiply
    406.26x = 560.25 × 289.62
  4. Step 4: Simplify right side
    406.26x = 162,259.61
  5. Step 5: Solve for x
    x = 162,259.61/406.26
  6. Step 6: Final answer
    x = 399.40

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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.