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Finding the Fourth Proportional to 677.30, 1,014.54 and 351.68

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Solution

The fourth proportional to 677.30, 1,014.54 and 351.68 is: 526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 1,014.54 = 351.68 : x
  2. Step 2: Convert to fraction form
    677.30/1,014.54 = 351.68/x
  3. Step 3: Cross multiply
    677.30x = 1,014.54 × 351.68
  4. Step 4: Simplify right side
    677.30x = 356,793.43
  5. Step 5: Solve for x
    x = 356,793.43/677.30
  6. Step 6: Final answer
    x = 526.79

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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.