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Finding the Fourth Proportional to 454.44, 681.49 and 317.55

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Solution

The fourth proportional to 454.44, 681.49 and 317.55 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.44 : 681.49 = 317.55 : x
  2. Step 2: Convert to fraction form
    454.44/681.49 = 317.55/x
  3. Step 3: Cross multiply
    454.44x = 681.49 × 317.55
  4. Step 4: Simplify right side
    454.44x = 216,407.15
  5. Step 5: Solve for x
    x = 216,407.15/454.44
  6. Step 6: Final answer
    x = 476.21

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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.