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Finding the Fourth Proportional to 537.33, 740.85 and 448.92

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Solution

The fourth proportional to 537.33, 740.85 and 448.92 is: 618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.33 : 740.85 = 448.92 : x
  2. Step 2: Convert to fraction form
    537.33/740.85 = 448.92/x
  3. Step 3: Cross multiply
    537.33x = 740.85 × 448.92
  4. Step 4: Simplify right side
    537.33x = 332,582.38
  5. Step 5: Solve for x
    x = 332,582.38/537.33
  6. Step 6: Final answer
    x = 618.95

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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.