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Finding the Fourth Proportional to 410.93, 616.40 and 381.77

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Solution

The fourth proportional to 410.93, 616.40 and 381.77 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.93 : 616.40 = 381.77 : x
  2. Step 2: Convert to fraction form
    410.93/616.40 = 381.77/x
  3. Step 3: Cross multiply
    410.93x = 616.40 × 381.77
  4. Step 4: Simplify right side
    410.93x = 235,323.03
  5. Step 5: Solve for x
    x = 235,323.03/410.93
  6. Step 6: Final answer
    x = 572.66

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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.