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Finding the Fourth Proportional to 353.14, 530.38 and 216.44

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Solution

The fourth proportional to 353.14, 530.38 and 216.44 is: 325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.14 : 530.38 = 216.44 : x
  2. Step 2: Convert to fraction form
    353.14/530.38 = 216.44/x
  3. Step 3: Cross multiply
    353.14x = 530.38 × 216.44
  4. Step 4: Simplify right side
    353.14x = 114,795.45
  5. Step 5: Solve for x
    x = 114,795.45/353.14
  6. Step 6: Final answer
    x = 325.07

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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.