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Finding the Fourth Proportional to 416.40, 574.89 and 269.40

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Solution

The fourth proportional to 416.40, 574.89 and 269.40 is: 371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 574.89 = 269.40 : x
  2. Step 2: Convert to fraction form
    416.40/574.89 = 269.40/x
  3. Step 3: Cross multiply
    416.40x = 574.89 × 269.40
  4. Step 4: Simplify right side
    416.40x = 154,875.37
  5. Step 5: Solve for x
    x = 154,875.37/416.40
  6. Step 6: Final answer
    x = 371.94

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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.