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Finding the Fourth Proportional to 374.64, 517.56 and 371.76

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Solution

The fourth proportional to 374.64, 517.56 and 371.76 is: 513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 517.56 = 371.76 : x
  2. Step 2: Convert to fraction form
    374.64/517.56 = 371.76/x
  3. Step 3: Cross multiply
    374.64x = 517.56 × 371.76
  4. Step 4: Simplify right side
    374.64x = 192,408.11
  5. Step 5: Solve for x
    x = 192,408.11/374.64
  6. Step 6: Final answer
    x = 513.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.