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Finding the Fourth Proportional to 406.72, 560.48 and 282.14

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Solution

The fourth proportional to 406.72, 560.48 and 282.14 is: 388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 560.48 = 282.14 : x
  2. Step 2: Convert to fraction form
    406.72/560.48 = 282.14/x
  3. Step 3: Cross multiply
    406.72x = 560.48 × 282.14
  4. Step 4: Simplify right side
    406.72x = 158,133.83
  5. Step 5: Solve for x
    x = 158,133.83/406.72
  6. Step 6: Final answer
    x = 388.80

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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.