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Finding the Fourth Proportional to 416.80, 575.16 and 242.08

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Solution

The fourth proportional to 416.80, 575.16 and 242.08 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.80 : 575.16 = 242.08 : x
  2. Step 2: Convert to fraction form
    416.80/575.16 = 242.08/x
  3. Step 3: Cross multiply
    416.80x = 575.16 × 242.08
  4. Step 4: Simplify right side
    416.80x = 139,234.73
  5. Step 5: Solve for x
    x = 139,234.73/416.80
  6. Step 6: Final answer
    x = 334.06

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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.