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Finding the Fourth Proportional to 511.12, 766.25 and 237.07

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Solution

The fourth proportional to 511.12, 766.25 and 237.07 is: 355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.12 : 766.25 = 237.07 : x
  2. Step 2: Convert to fraction form
    511.12/766.25 = 237.07/x
  3. Step 3: Cross multiply
    511.12x = 766.25 × 237.07
  4. Step 4: Simplify right side
    511.12x = 181,649.87
  5. Step 5: Solve for x
    x = 181,649.87/511.12
  6. Step 6: Final answer
    x = 355.40

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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.