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Finding the Fourth Proportional to 406.04, 560.15 and 281.99

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Solution

The fourth proportional to 406.04, 560.15 and 281.99 is: 389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.04 : 560.15 = 281.99 : x
  2. Step 2: Convert to fraction form
    406.04/560.15 = 281.99/x
  3. Step 3: Cross multiply
    406.04x = 560.15 × 281.99
  4. Step 4: Simplify right side
    406.04x = 157,952.49
  5. Step 5: Solve for x
    x = 157,952.49/406.04
  6. Step 6: Final answer
    x = 389.01

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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.