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Finding the Fourth Proportional to 677.25, 1,016.28 and 292.50

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Solution

The fourth proportional to 677.25, 1,016.28 and 292.50 is: 438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.25 : 1,016.28 = 292.50 : x
  2. Step 2: Convert to fraction form
    677.25/1,016.28 = 292.50/x
  3. Step 3: Cross multiply
    677.25x = 1,016.28 × 292.50
  4. Step 4: Simplify right side
    677.25x = 297,261.90
  5. Step 5: Solve for x
    x = 297,261.90/677.25
  6. Step 6: Final answer
    x = 438.92

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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.