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Finding the Fourth Proportional to 410.06, 566.19 and 299.70

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Solution

The fourth proportional to 410.06, 566.19 and 299.70 is: 413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 566.19 = 299.70 : x
  2. Step 2: Convert to fraction form
    410.06/566.19 = 299.70/x
  3. Step 3: Cross multiply
    410.06x = 566.19 × 299.70
  4. Step 4: Simplify right side
    410.06x = 169,687.14
  5. Step 5: Solve for x
    x = 169,687.14/410.06
  6. Step 6: Final answer
    x = 413.81

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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.