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Finding the Fourth Proportional to 610.02, 915.21 and 321.39

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Solution

The fourth proportional to 610.02, 915.21 and 321.39 is: 482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.02 : 915.21 = 321.39 : x
  2. Step 2: Convert to fraction form
    610.02/915.21 = 321.39/x
  3. Step 3: Cross multiply
    610.02x = 915.21 × 321.39
  4. Step 4: Simplify right side
    610.02x = 294,139.34
  5. Step 5: Solve for x
    x = 294,139.34/610.02
  6. Step 6: Final answer
    x = 482.18

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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.