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Finding the Fourth Proportional to 679.73, 1,017.77 and 354.41

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Solution

The fourth proportional to 679.73, 1,017.77 and 354.41 is: 530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.73 : 1,017.77 = 354.41 : x
  2. Step 2: Convert to fraction form
    679.73/1,017.77 = 354.41/x
  3. Step 3: Cross multiply
    679.73x = 1,017.77 × 354.41
  4. Step 4: Simplify right side
    679.73x = 360,704.82
  5. Step 5: Solve for x
    x = 360,704.82/679.73
  6. Step 6: Final answer
    x = 530.66

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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.