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Finding the Fourth Proportional to 410.13, 566.19 and 299.84

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Solution

The fourth proportional to 410.13, 566.19 and 299.84 is: 413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 566.19 = 299.84 : x
  2. Step 2: Convert to fraction form
    410.13/566.19 = 299.84/x
  3. Step 3: Cross multiply
    410.13x = 566.19 × 299.84
  4. Step 4: Simplify right side
    410.13x = 169,763.58
  5. Step 5: Solve for x
    x = 169,763.58/410.13
  6. Step 6: Final answer
    x = 413.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.