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Finding the Fourth Proportional to 610.93, 916.84 and 245.82

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Solution

The fourth proportional to 610.93, 916.84 and 245.82 is: 368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.93 : 916.84 = 245.82 : x
  2. Step 2: Convert to fraction form
    610.93/916.84 = 245.82/x
  3. Step 3: Cross multiply
    610.93x = 916.84 × 245.82
  4. Step 4: Simplify right side
    610.93x = 225,377.61
  5. Step 5: Solve for x
    x = 225,377.61/610.93
  6. Step 6: Final answer
    x = 368.91

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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.