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Finding the Fourth Proportional to 677.57, 1,015.74 and 312.46

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Solution

The fourth proportional to 677.57, 1,015.74 and 312.46 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.57 : 1,015.74 = 312.46 : x
  2. Step 2: Convert to fraction form
    677.57/1,015.74 = 312.46/x
  3. Step 3: Cross multiply
    677.57x = 1,015.74 × 312.46
  4. Step 4: Simplify right side
    677.57x = 317,375.58
  5. Step 5: Solve for x
    x = 317,375.58/677.57
  6. Step 6: Final answer
    x = 468.41

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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.