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Finding the Fourth Proportional to 377.91, 567.50 and 349.49

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Solution

The fourth proportional to 377.91, 567.50 and 349.49 is: 524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.91 : 567.50 = 349.49 : x
  2. Step 2: Convert to fraction form
    377.91/567.50 = 349.49/x
  3. Step 3: Cross multiply
    377.91x = 567.50 × 349.49
  4. Step 4: Simplify right side
    377.91x = 198,335.25
  5. Step 5: Solve for x
    x = 198,335.25/377.91
  6. Step 6: Final answer
    x = 524.82

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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.