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Finding the Fourth Proportional to 511.40, 767.33 and 237.57

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Solution

The fourth proportional to 511.40, 767.33 and 237.57 is: 356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 767.33 = 237.57 : x
  2. Step 2: Convert to fraction form
    511.40/767.33 = 237.57/x
  3. Step 3: Cross multiply
    511.40x = 767.33 × 237.57
  4. Step 4: Simplify right side
    511.40x = 182,293.40
  5. Step 5: Solve for x
    x = 182,293.40/511.40
  6. Step 6: Final answer
    x = 356.46

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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.