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Finding the Fourth Proportional to 439.41, 606.65 and 282.07

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Solution

The fourth proportional to 439.41, 606.65 and 282.07 is: 389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.41 : 606.65 = 282.07 : x
  2. Step 2: Convert to fraction form
    439.41/606.65 = 282.07/x
  3. Step 3: Cross multiply
    439.41x = 606.65 × 282.07
  4. Step 4: Simplify right side
    439.41x = 171,117.77
  5. Step 5: Solve for x
    x = 171,117.77/439.41
  6. Step 6: Final answer
    x = 389.43

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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.