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Finding the Fourth Proportional to 602.31, 831.19 and 326.31

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Solution

The fourth proportional to 602.31, 831.19 and 326.31 is: 450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.31 : 831.19 = 326.31 : x
  2. Step 2: Convert to fraction form
    602.31/831.19 = 326.31/x
  3. Step 3: Cross multiply
    602.31x = 831.19 × 326.31
  4. Step 4: Simplify right side
    602.31x = 271,225.61
  5. Step 5: Solve for x
    x = 271,225.61/602.31
  6. Step 6: Final answer
    x = 450.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.