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Finding the Fourth Proportional to 416.47, 574.98 and 269.35

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Solution

The fourth proportional to 416.47, 574.98 and 269.35 is: 371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.47 : 574.98 = 269.35 : x
  2. Step 2: Convert to fraction form
    416.47/574.98 = 269.35/x
  3. Step 3: Cross multiply
    416.47x = 574.98 × 269.35
  4. Step 4: Simplify right side
    416.47x = 154,870.86
  5. Step 5: Solve for x
    x = 154,870.86/416.47
  6. Step 6: Final answer
    x = 371.87

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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.