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Finding the Fourth Proportional to 610.34, 915.59 and 199.33

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Solution

The fourth proportional to 610.34, 915.59 and 199.33 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.34 : 915.59 = 199.33 : x
  2. Step 2: Convert to fraction form
    610.34/915.59 = 199.33/x
  3. Step 3: Cross multiply
    610.34x = 915.59 × 199.33
  4. Step 4: Simplify right side
    610.34x = 182,502.76
  5. Step 5: Solve for x
    x = 182,502.76/610.34
  6. Step 6: Final answer
    x = 299.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.