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Finding the Fourth Proportional to 397.24, 595.87 and 352.15

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Solution

The fourth proportional to 397.24, 595.87 and 352.15 is: 528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.24 : 595.87 = 352.15 : x
  2. Step 2: Convert to fraction form
    397.24/595.87 = 352.15/x
  3. Step 3: Cross multiply
    397.24x = 595.87 × 352.15
  4. Step 4: Simplify right side
    397.24x = 209,833.25
  5. Step 5: Solve for x
    x = 209,833.25/397.24
  6. Step 6: Final answer
    x = 528.23

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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.