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Finding the Fourth Proportional to 356.40, 534.24 and 212.40

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Solution

The fourth proportional to 356.40, 534.24 and 212.40 is: 318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 534.24 = 212.40 : x
  2. Step 2: Convert to fraction form
    356.40/534.24 = 212.40/x
  3. Step 3: Cross multiply
    356.40x = 534.24 × 212.40
  4. Step 4: Simplify right side
    356.40x = 113,472.58
  5. Step 5: Solve for x
    x = 113,472.58/356.40
  6. Step 6: Final answer
    x = 318.39

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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.