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Finding the Fourth Proportional to 610.06, 915.18 and 423.22

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Solution

The fourth proportional to 610.06, 915.18 and 423.22 is: 634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.06 : 915.18 = 423.22 : x
  2. Step 2: Convert to fraction form
    610.06/915.18 = 423.22/x
  3. Step 3: Cross multiply
    610.06x = 915.18 × 423.22
  4. Step 4: Simplify right side
    610.06x = 387,322.48
  5. Step 5: Solve for x
    x = 387,322.48/610.06
  6. Step 6: Final answer
    x = 634.89

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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.