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Finding the Fourth Proportional to 324.54, 488.71 and 233.87

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Solution

The fourth proportional to 324.54, 488.71 and 233.87 is: 352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.54 : 488.71 = 233.87 : x
  2. Step 2: Convert to fraction form
    324.54/488.71 = 233.87/x
  3. Step 3: Cross multiply
    324.54x = 488.71 × 233.87
  4. Step 4: Simplify right side
    324.54x = 114,294.61
  5. Step 5: Solve for x
    x = 114,294.61/324.54
  6. Step 6: Final answer
    x = 352.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.