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Finding the Fourth Proportional to 511.75, 766.48 and 237.01

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Solution

The fourth proportional to 511.75, 766.48 and 237.01 is: 354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 766.48 = 237.01 : x
  2. Step 2: Convert to fraction form
    511.75/766.48 = 237.01/x
  3. Step 3: Cross multiply
    511.75x = 766.48 × 237.01
  4. Step 4: Simplify right side
    511.75x = 181,660.92
  5. Step 5: Solve for x
    x = 181,660.92/511.75
  6. Step 6: Final answer
    x = 354.98

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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.