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Finding the Fourth Proportional to 410.99, 616.77 and 371.77

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Solution

The fourth proportional to 410.99, 616.77 and 371.77 is: 557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 616.77 = 371.77 : x
  2. Step 2: Convert to fraction form
    410.99/616.77 = 371.77/x
  3. Step 3: Cross multiply
    410.99x = 616.77 × 371.77
  4. Step 4: Simplify right side
    410.99x = 229,294.72
  5. Step 5: Solve for x
    x = 229,294.72/410.99
  6. Step 6: Final answer
    x = 557.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.