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Finding the Fourth Proportional to 372.48, 513.68 and 284.96

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Solution

The fourth proportional to 372.48, 513.68 and 284.96 is: 392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.48 : 513.68 = 284.96 : x
  2. Step 2: Convert to fraction form
    372.48/513.68 = 284.96/x
  3. Step 3: Cross multiply
    372.48x = 513.68 × 284.96
  4. Step 4: Simplify right side
    372.48x = 146,378.25
  5. Step 5: Solve for x
    x = 146,378.25/372.48
  6. Step 6: Final answer
    x = 392.98

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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.