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Finding the Fourth Proportional to 416.89, 575.31 and 242.23

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Solution

The fourth proportional to 416.89, 575.31 and 242.23 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.89 : 575.31 = 242.23 : x
  2. Step 2: Convert to fraction form
    416.89/575.31 = 242.23/x
  3. Step 3: Cross multiply
    416.89x = 575.31 × 242.23
  4. Step 4: Simplify right side
    416.89x = 139,357.34
  5. Step 5: Solve for x
    x = 139,357.34/416.89
  6. Step 6: Final answer
    x = 334.28

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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.