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Finding the Fourth Proportional to 375.92, 518.68 and 228.56

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Solution

The fourth proportional to 375.92, 518.68 and 228.56 is: 315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.92 : 518.68 = 228.56 : x
  2. Step 2: Convert to fraction form
    375.92/518.68 = 228.56/x
  3. Step 3: Cross multiply
    375.92x = 518.68 × 228.56
  4. Step 4: Simplify right side
    375.92x = 118,545.76
  5. Step 5: Solve for x
    x = 118,545.76/375.92
  6. Step 6: Final answer
    x = 315.35

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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.