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Finding the Fourth Proportional to 677.90, 1,017.09 and 293.42

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Solution

The fourth proportional to 677.90, 1,017.09 and 293.42 is: 440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.90 : 1,017.09 = 293.42 : x
  2. Step 2: Convert to fraction form
    677.90/1,017.09 = 293.42/x
  3. Step 3: Cross multiply
    677.90x = 1,017.09 × 293.42
  4. Step 4: Simplify right side
    677.90x = 298,434.55
  5. Step 5: Solve for x
    x = 298,434.55/677.90
  6. Step 6: Final answer
    x = 440.23

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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.