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Finding the Fourth Proportional to 356.32, 534.34 and 217.47

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Solution

The fourth proportional to 356.32, 534.34 and 217.47 is: 326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.32 : 534.34 = 217.47 : x
  2. Step 2: Convert to fraction form
    356.32/534.34 = 217.47/x
  3. Step 3: Cross multiply
    356.32x = 534.34 × 217.47
  4. Step 4: Simplify right side
    356.32x = 116,202.92
  5. Step 5: Solve for x
    x = 116,202.92/356.32
  6. Step 6: Final answer
    x = 326.12

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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.