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Finding the Fourth Proportional to 352.58, 527.96 and 243.23

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Solution

The fourth proportional to 352.58, 527.96 and 243.23 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.58 : 527.96 = 243.23 : x
  2. Step 2: Convert to fraction form
    352.58/527.96 = 243.23/x
  3. Step 3: Cross multiply
    352.58x = 527.96 × 243.23
  4. Step 4: Simplify right side
    352.58x = 128,417.33
  5. Step 5: Solve for x
    x = 128,417.33/352.58
  6. Step 6: Final answer
    x = 364.22

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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.