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Finding the Fourth Proportional to 416.48, 625.19 and 233.82

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Solution

The fourth proportional to 416.48, 625.19 and 233.82 is: 351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 625.19 = 233.82 : x
  2. Step 2: Convert to fraction form
    416.48/625.19 = 233.82/x
  3. Step 3: Cross multiply
    416.48x = 625.19 × 233.82
  4. Step 4: Simplify right side
    416.48x = 146,180.76
  5. Step 5: Solve for x
    x = 146,180.76/416.48
  6. Step 6: Final answer
    x = 351.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.