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Finding the Fourth Proportional to 610.78, 915.60 and 245.82

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Solution

The fourth proportional to 610.78, 915.60 and 245.82 is: 368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.78 : 915.60 = 245.82 : x
  2. Step 2: Convert to fraction form
    610.78/915.60 = 245.82/x
  3. Step 3: Cross multiply
    610.78x = 915.60 × 245.82
  4. Step 4: Simplify right side
    610.78x = 225,072.79
  5. Step 5: Solve for x
    x = 225,072.79/610.78
  6. Step 6: Final answer
    x = 368.50

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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.