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Finding the Fourth Proportional to 457.74, 687.98 and 377.09

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Solution

The fourth proportional to 457.74, 687.98 and 377.09 is: 566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 687.98 = 377.09 : x
  2. Step 2: Convert to fraction form
    457.74/687.98 = 377.09/x
  3. Step 3: Cross multiply
    457.74x = 687.98 × 377.09
  4. Step 4: Simplify right side
    457.74x = 259,425.05
  5. Step 5: Solve for x
    x = 259,425.05/457.74
  6. Step 6: Final answer
    x = 566.75

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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.