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Finding the Fourth Proportional to 616.88, 852.12 and 493.40

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Solution

The fourth proportional to 616.88, 852.12 and 493.40 is: 681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 852.12 = 493.40 : x
  2. Step 2: Convert to fraction form
    616.88/852.12 = 493.40/x
  3. Step 3: Cross multiply
    616.88x = 852.12 × 493.40
  4. Step 4: Simplify right side
    616.88x = 420,431.75
  5. Step 5: Solve for x
    x = 420,431.75/616.88
  6. Step 6: Final answer
    x = 681.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.