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Finding the Fourth Proportional to 375.12, 562.44 and 342.60

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Solution

The fourth proportional to 375.12, 562.44 and 342.60 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 562.44 = 342.60 : x
  2. Step 2: Convert to fraction form
    375.12/562.44 = 342.60/x
  3. Step 3: Cross multiply
    375.12x = 562.44 × 342.60
  4. Step 4: Simplify right side
    375.12x = 192,691.94
  5. Step 5: Solve for x
    x = 192,691.94/375.12
  6. Step 6: Final answer
    x = 513.68

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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.