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Finding the Fourth Proportional to 356.43, 534.52 and 219.07

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Solution

The fourth proportional to 356.43, 534.52 and 219.07 is: 328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.43 : 534.52 = 219.07 : x
  2. Step 2: Convert to fraction form
    356.43/534.52 = 219.07/x
  3. Step 3: Cross multiply
    356.43x = 534.52 × 219.07
  4. Step 4: Simplify right side
    356.43x = 117,093.53
  5. Step 5: Solve for x
    x = 117,093.53/356.43
  6. Step 6: Final answer
    x = 328.52

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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.