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Finding the Fourth Proportional to 374.20, 567.92 and 374.20

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Solution

The fourth proportional to 374.20, 567.92 and 374.20 is: 567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.20 : 567.92 = 374.20 : x
  2. Step 2: Convert to fraction form
    374.20/567.92 = 374.20/x
  3. Step 3: Cross multiply
    374.20x = 567.92 × 374.20
  4. Step 4: Simplify right side
    374.20x = 212,515.66
  5. Step 5: Solve for x
    x = 212,515.66/374.20
  6. Step 6: Final answer
    x = 567.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.