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Finding the Fourth Proportional to 454.24, 681.82 and 307.54

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Solution

The fourth proportional to 454.24, 681.82 and 307.54 is: 461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.24 : 681.82 = 307.54 : x
  2. Step 2: Convert to fraction form
    454.24/681.82 = 307.54/x
  3. Step 3: Cross multiply
    454.24x = 681.82 × 307.54
  4. Step 4: Simplify right side
    454.24x = 209,686.92
  5. Step 5: Solve for x
    x = 209,686.92/454.24
  6. Step 6: Final answer
    x = 461.62

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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.