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Finding the Fourth Proportional to 416.03, 575.60 and 353.66

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Solution

The fourth proportional to 416.03, 575.60 and 353.66 is: 489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.03 : 575.60 = 353.66 : x
  2. Step 2: Convert to fraction form
    416.03/575.60 = 353.66/x
  3. Step 3: Cross multiply
    416.03x = 575.60 × 353.66
  4. Step 4: Simplify right side
    416.03x = 203,562.05
  5. Step 5: Solve for x
    x = 203,562.05/416.03
  6. Step 6: Final answer
    x = 489.30

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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.