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Finding the Fourth Proportional to 351.83, 527.75 and 215.15

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Solution

The fourth proportional to 351.83, 527.75 and 215.15 is: 322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.83 : 527.75 = 215.15 : x
  2. Step 2: Convert to fraction form
    351.83/527.75 = 215.15/x
  3. Step 3: Cross multiply
    351.83x = 527.75 × 215.15
  4. Step 4: Simplify right side
    351.83x = 113,541.70
  5. Step 5: Solve for x
    x = 113,541.70/351.83
  6. Step 6: Final answer
    x = 322.72

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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.