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Finding the Fourth Proportional to 439.86, 606.52 and 282.29

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Solution

The fourth proportional to 439.86, 606.52 and 282.29 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.86 : 606.52 = 282.29 : x
  2. Step 2: Convert to fraction form
    439.86/606.52 = 282.29/x
  3. Step 3: Cross multiply
    439.86x = 606.52 × 282.29
  4. Step 4: Simplify right side
    439.86x = 171,214.53
  5. Step 5: Solve for x
    x = 171,214.53/439.86
  6. Step 6: Final answer
    x = 389.25

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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.