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Finding the Fourth Proportional to 454.56, 679.98 and 377.68

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Solution

The fourth proportional to 454.56, 679.98 and 377.68 is: 564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.56 : 679.98 = 377.68 : x
  2. Step 2: Convert to fraction form
    454.56/679.98 = 377.68/x
  3. Step 3: Cross multiply
    454.56x = 679.98 × 377.68
  4. Step 4: Simplify right side
    454.56x = 256,814.85
  5. Step 5: Solve for x
    x = 256,814.85/454.56
  6. Step 6: Final answer
    x = 564.97

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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.