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Finding the Fourth Proportional to 613.52, 920.24 and 228.76

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Solution

The fourth proportional to 613.52, 920.24 and 228.76 is: 343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 920.24 = 228.76 : x
  2. Step 2: Convert to fraction form
    613.52/920.24 = 228.76/x
  3. Step 3: Cross multiply
    613.52x = 920.24 × 228.76
  4. Step 4: Simplify right side
    613.52x = 210,514.10
  5. Step 5: Solve for x
    x = 210,514.10/613.52
  6. Step 6: Final answer
    x = 343.13

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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.