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Finding the Fourth Proportional to 406.65, 560.89 and 282.35

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Solution

The fourth proportional to 406.65, 560.89 and 282.35 is: 389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.65 : 560.89 = 282.35 : x
  2. Step 2: Convert to fraction form
    406.65/560.89 = 282.35/x
  3. Step 3: Cross multiply
    406.65x = 560.89 × 282.35
  4. Step 4: Simplify right side
    406.65x = 158,369.05
  5. Step 5: Solve for x
    x = 158,369.05/406.65
  6. Step 6: Final answer
    x = 389.44

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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.