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Finding the Fourth Proportional to 454.41, 680.67 and 337.50

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Solution

The fourth proportional to 454.41, 680.67 and 337.50 is: 505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.41 : 680.67 = 337.50 : x
  2. Step 2: Convert to fraction form
    454.41/680.67 = 337.50/x
  3. Step 3: Cross multiply
    454.41x = 680.67 × 337.50
  4. Step 4: Simplify right side
    454.41x = 229,726.13
  5. Step 5: Solve for x
    x = 229,726.13/454.41
  6. Step 6: Final answer
    x = 505.55

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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.