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Finding the Fourth Proportional to 616.84, 850.76 and 492.34

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Solution

The fourth proportional to 616.84, 850.76 and 492.34 is: 679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.84 : 850.76 = 492.34 : x
  2. Step 2: Convert to fraction form
    616.84/850.76 = 492.34/x
  3. Step 3: Cross multiply
    616.84x = 850.76 × 492.34
  4. Step 4: Simplify right side
    616.84x = 418,863.18
  5. Step 5: Solve for x
    x = 418,863.18/616.84
  6. Step 6: Final answer
    x = 679.05

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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.