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Finding the Fourth Proportional to 406.43, 560.38 and 295.87

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Solution

The fourth proportional to 406.43, 560.38 and 295.87 is: 407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.43 : 560.38 = 295.87 : x
  2. Step 2: Convert to fraction form
    406.43/560.38 = 295.87/x
  3. Step 3: Cross multiply
    406.43x = 560.38 × 295.87
  4. Step 4: Simplify right side
    406.43x = 165,799.63
  5. Step 5: Solve for x
    x = 165,799.63/406.43
  6. Step 6: Final answer
    x = 407.94

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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.