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Finding the Fourth Proportional to 416.96, 575.46 and 269.54

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Solution

The fourth proportional to 416.96, 575.46 and 269.54 is: 372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 575.46 = 269.54 : x
  2. Step 2: Convert to fraction form
    416.96/575.46 = 269.54/x
  3. Step 3: Cross multiply
    416.96x = 575.46 × 269.54
  4. Step 4: Simplify right side
    416.96x = 155,106.61
  5. Step 5: Solve for x
    x = 155,106.61/416.96
  6. Step 6: Final answer
    x = 372.00

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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.