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Finding the Fourth Proportional to 355.84, 490.56 and 282.08

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Solution

The fourth proportional to 355.84, 490.56 and 282.08 is: 388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 490.56 = 282.08 : x
  2. Step 2: Convert to fraction form
    355.84/490.56 = 282.08/x
  3. Step 3: Cross multiply
    355.84x = 490.56 × 282.08
  4. Step 4: Simplify right side
    355.84x = 138,377.16
  5. Step 5: Solve for x
    x = 138,377.16/355.84
  6. Step 6: Final answer
    x = 388.87

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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.