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Finding the Fourth Proportional to 822.34, 1,233.28 and 237.21

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Solution

The fourth proportional to 822.34, 1,233.28 and 237.21 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.34 : 1,233.28 = 237.21 : x
  2. Step 2: Convert to fraction form
    822.34/1,233.28 = 237.21/x
  3. Step 3: Cross multiply
    822.34x = 1,233.28 × 237.21
  4. Step 4: Simplify right side
    822.34x = 292,545.76
  5. Step 5: Solve for x
    x = 292,545.76/822.34
  6. Step 6: Final answer
    x = 355.75

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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.