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Finding the Fourth Proportional to 406.02, 560.30 and 295.97

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Solution

The fourth proportional to 406.02, 560.30 and 295.97 is: 408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 560.30 = 295.97 : x
  2. Step 2: Convert to fraction form
    406.02/560.30 = 295.97/x
  3. Step 3: Cross multiply
    406.02x = 560.30 × 295.97
  4. Step 4: Simplify right side
    406.02x = 165,827.71
  5. Step 5: Solve for x
    x = 165,827.71/406.02
  6. Step 6: Final answer
    x = 408.42

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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.