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Finding the Fourth Proportional to 355.18, 490.76 and 282.14

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Solution

The fourth proportional to 355.18, 490.76 and 282.14 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.18 : 490.76 = 282.14 : x
  2. Step 2: Convert to fraction form
    355.18/490.76 = 282.14/x
  3. Step 3: Cross multiply
    355.18x = 490.76 × 282.14
  4. Step 4: Simplify right side
    355.18x = 138,463.03
  5. Step 5: Solve for x
    x = 138,463.03/355.18
  6. Step 6: Final answer
    x = 389.84

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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.