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Finding the Fourth Proportional to 562.16, 842.52 and 237.08

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Solution

The fourth proportional to 562.16, 842.52 and 237.08 is: 355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 842.52 = 237.08 : x
  2. Step 2: Convert to fraction form
    562.16/842.52 = 237.08/x
  3. Step 3: Cross multiply
    562.16x = 842.52 × 237.08
  4. Step 4: Simplify right side
    562.16x = 199,744.64
  5. Step 5: Solve for x
    x = 199,744.64/562.16
  6. Step 6: Final answer
    x = 355.32

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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.