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Finding the Fourth Proportional to 610.79, 916.67 and 245.84

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Solution

The fourth proportional to 610.79, 916.67 and 245.84 is: 368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.79 : 916.67 = 245.84 : x
  2. Step 2: Convert to fraction form
    610.79/916.67 = 245.84/x
  3. Step 3: Cross multiply
    610.79x = 916.67 × 245.84
  4. Step 4: Simplify right side
    610.79x = 225,348.80
  5. Step 5: Solve for x
    x = 225,348.80/610.79
  6. Step 6: Final answer
    x = 368.95

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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.