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Finding the Fourth Proportional to 355.77, 490.14 and 282.06

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Solution

The fourth proportional to 355.77, 490.14 and 282.06 is: 388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.77 : 490.14 = 282.06 : x
  2. Step 2: Convert to fraction form
    355.77/490.14 = 282.06/x
  3. Step 3: Cross multiply
    355.77x = 490.14 × 282.06
  4. Step 4: Simplify right side
    355.77x = 138,248.89
  5. Step 5: Solve for x
    x = 138,248.89/355.77
  6. Step 6: Final answer
    x = 388.59

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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.