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Finding the Fourth Proportional to 416.84, 575.10 and 269.66

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Solution

The fourth proportional to 416.84, 575.10 and 269.66 is: 372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.84 : 575.10 = 269.66 : x
  2. Step 2: Convert to fraction form
    416.84/575.10 = 269.66/x
  3. Step 3: Cross multiply
    416.84x = 575.10 × 269.66
  4. Step 4: Simplify right side
    416.84x = 155,081.47
  5. Step 5: Solve for x
    x = 155,081.47/416.84
  6. Step 6: Final answer
    x = 372.04

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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.