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Finding the Fourth Proportional to 454.14, 681.95 and 281.91

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Solution

The fourth proportional to 454.14, 681.95 and 281.91 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.14 : 681.95 = 281.91 : x
  2. Step 2: Convert to fraction form
    454.14/681.95 = 281.91/x
  3. Step 3: Cross multiply
    454.14x = 681.95 × 281.91
  4. Step 4: Simplify right side
    454.14x = 192,248.52
  5. Step 5: Solve for x
    x = 192,248.52/454.14
  6. Step 6: Final answer
    x = 423.32

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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.