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Finding the Fourth Proportional to 406.49, 560.65 and 282.15

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Solution

The fourth proportional to 406.49, 560.65 and 282.15 is: 389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.49 : 560.65 = 282.15 : x
  2. Step 2: Convert to fraction form
    406.49/560.65 = 282.15/x
  3. Step 3: Cross multiply
    406.49x = 560.65 × 282.15
  4. Step 4: Simplify right side
    406.49x = 158,187.40
  5. Step 5: Solve for x
    x = 158,187.40/406.49
  6. Step 6: Final answer
    x = 389.15

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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.