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Finding the Fourth Proportional to 677.31, 1,016.00 and 215.13

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Solution

The fourth proportional to 677.31, 1,016.00 and 215.13 is: 322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.31 : 1,016.00 = 215.13 : x
  2. Step 2: Convert to fraction form
    677.31/1,016.00 = 215.13/x
  3. Step 3: Cross multiply
    677.31x = 1,016.00 × 215.13
  4. Step 4: Simplify right side
    677.31x = 218,567.54
  5. Step 5: Solve for x
    x = 218,567.54/677.31
  6. Step 6: Final answer
    x = 322.70

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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.