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Finding the Fourth Proportional to 356.02, 532.68 and 216.70

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Solution

The fourth proportional to 356.02, 532.68 and 216.70 is: 324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.02 : 532.68 = 216.70 : x
  2. Step 2: Convert to fraction form
    356.02/532.68 = 216.70/x
  3. Step 3: Cross multiply
    356.02x = 532.68 × 216.70
  4. Step 4: Simplify right side
    356.02x = 115,431.76
  5. Step 5: Solve for x
    x = 115,431.76/356.02
  6. Step 6: Final answer
    x = 324.23

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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.