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Finding the Fourth Proportional to 677.25, 1,016.10 and 287.46

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Solution

The fourth proportional to 677.25, 1,016.10 and 287.46 is: 431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.25 : 1,016.10 = 287.46 : x
  2. Step 2: Convert to fraction form
    677.25/1,016.10 = 287.46/x
  3. Step 3: Cross multiply
    677.25x = 1,016.10 × 287.46
  4. Step 4: Simplify right side
    677.25x = 292,088.11
  5. Step 5: Solve for x
    x = 292,088.11/677.25
  6. Step 6: Final answer
    x = 431.29

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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.