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Finding the Fourth Proportional to 677.68, 1,016.34 and 244.78

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Solution

The fourth proportional to 677.68, 1,016.34 and 244.78 is: 367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.68 : 1,016.34 = 244.78 : x
  2. Step 2: Convert to fraction form
    677.68/1,016.34 = 244.78/x
  3. Step 3: Cross multiply
    677.68x = 1,016.34 × 244.78
  4. Step 4: Simplify right side
    677.68x = 248,779.71
  5. Step 5: Solve for x
    x = 248,779.71/677.68
  6. Step 6: Final answer
    x = 367.10

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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.