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Finding the Fourth Proportional to 331.74, 457.83 and 282.78

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Solution

The fourth proportional to 331.74, 457.83 and 282.78 is: 390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.74 : 457.83 = 282.78 : x
  2. Step 2: Convert to fraction form
    331.74/457.83 = 282.78/x
  3. Step 3: Cross multiply
    331.74x = 457.83 × 282.78
  4. Step 4: Simplify right side
    331.74x = 129,465.17
  5. Step 5: Solve for x
    x = 129,465.17/331.74
  6. Step 6: Final answer
    x = 390.26

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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.