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Finding the Fourth Proportional to 416.86, 575.24 and 242.17

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Solution

The fourth proportional to 416.86, 575.24 and 242.17 is: 334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.86 : 575.24 = 242.17 : x
  2. Step 2: Convert to fraction form
    416.86/575.24 = 242.17/x
  3. Step 3: Cross multiply
    416.86x = 575.24 × 242.17
  4. Step 4: Simplify right side
    416.86x = 139,305.87
  5. Step 5: Solve for x
    x = 139,305.87/416.86
  6. Step 6: Final answer
    x = 334.18

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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.