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Finding the Fourth Proportional to 416.68, 575.37 and 292.61

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Solution

The fourth proportional to 416.68, 575.37 and 292.61 is: 404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.68 : 575.37 = 292.61 : x
  2. Step 2: Convert to fraction form
    416.68/575.37 = 292.61/x
  3. Step 3: Cross multiply
    416.68x = 575.37 × 292.61
  4. Step 4: Simplify right side
    416.68x = 168,360.45
  5. Step 5: Solve for x
    x = 168,360.45/416.68
  6. Step 6: Final answer
    x = 404.05

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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.