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Finding the Fourth Proportional to 416.82, 575.03 and 242.07

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Solution

The fourth proportional to 416.82, 575.03 and 242.07 is: 333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.82 : 575.03 = 242.07 : x
  2. Step 2: Convert to fraction form
    416.82/575.03 = 242.07/x
  3. Step 3: Cross multiply
    416.82x = 575.03 × 242.07
  4. Step 4: Simplify right side
    416.82x = 139,196.30
  5. Step 5: Solve for x
    x = 139,196.30/416.82
  6. Step 6: Final answer
    x = 333.95

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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.