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Finding the Fourth Proportional to 393.32, 541.59 and 282.59

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Solution

The fourth proportional to 393.32, 541.59 and 282.59 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.32 : 541.59 = 282.59 : x
  2. Step 2: Convert to fraction form
    393.32/541.59 = 282.59/x
  3. Step 3: Cross multiply
    393.32x = 541.59 × 282.59
  4. Step 4: Simplify right side
    393.32x = 153,046.18
  5. Step 5: Solve for x
    x = 153,046.18/393.32
  6. Step 6: Final answer
    x = 389.11

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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.