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Finding the Fourth Proportional to 364.83, 545.02 and 233.78

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Solution

The fourth proportional to 364.83, 545.02 and 233.78 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.83 : 545.02 = 233.78 : x
  2. Step 2: Convert to fraction form
    364.83/545.02 = 233.78/x
  3. Step 3: Cross multiply
    364.83x = 545.02 × 233.78
  4. Step 4: Simplify right side
    364.83x = 127,414.78
  5. Step 5: Solve for x
    x = 127,414.78/364.83
  6. Step 6: Final answer
    x = 349.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.