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Finding the Fourth Proportional to 417.25, 575.46 and 355.27

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Solution

The fourth proportional to 417.25, 575.46 and 355.27 is: 489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.25 : 575.46 = 355.27 : x
  2. Step 2: Convert to fraction form
    417.25/575.46 = 355.27/x
  3. Step 3: Cross multiply
    417.25x = 575.46 × 355.27
  4. Step 4: Simplify right side
    417.25x = 204,443.67
  5. Step 5: Solve for x
    x = 204,443.67/417.25
  6. Step 6: Final answer
    x = 489.98

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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.