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Finding the Fourth Proportional to 677.30, 1,016.07 and 214.95

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Solution

The fourth proportional to 677.30, 1,016.07 and 214.95 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 1,016.07 = 214.95 : x
  2. Step 2: Convert to fraction form
    677.30/1,016.07 = 214.95/x
  3. Step 3: Cross multiply
    677.30x = 1,016.07 × 214.95
  4. Step 4: Simplify right side
    677.30x = 218,404.25
  5. Step 5: Solve for x
    x = 218,404.25/677.30
  6. Step 6: Final answer
    x = 322.47

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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.