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Finding the Fourth Proportional to 562, 842.28 and 237.28

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Solution

The fourth proportional to 562, 842.28 and 237.28 is: 355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 842.28 = 237.28 : x
  2. Step 2: Convert to fraction form
    562/842.28 = 237.28/x
  3. Step 3: Cross multiply
    562x = 842.28 × 237.28
  4. Step 4: Simplify right side
    562x = 199,856.20
  5. Step 5: Solve for x
    x = 199,856.20/562
  6. Step 6: Final answer
    x = 355.62

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