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Finding the Fourth Proportional to 454.64, 681.40 and 238.08

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Solution

The fourth proportional to 454.64, 681.40 and 238.08 is: 356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.64 : 681.40 = 238.08 : x
  2. Step 2: Convert to fraction form
    454.64/681.40 = 238.08/x
  3. Step 3: Cross multiply
    454.64x = 681.40 × 238.08
  4. Step 4: Simplify right side
    454.64x = 162,227.71
  5. Step 5: Solve for x
    x = 162,227.71/454.64
  6. Step 6: Final answer
    x = 356.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.