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Finding the Fourth Proportional to 397.32, 595.46 and 202.32

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Solution

The fourth proportional to 397.32, 595.46 and 202.32 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.32 : 595.46 = 202.32 : x
  2. Step 2: Convert to fraction form
    397.32/595.46 = 202.32/x
  3. Step 3: Cross multiply
    397.32x = 595.46 × 202.32
  4. Step 4: Simplify right side
    397.32x = 120,473.47
  5. Step 5: Solve for x
    x = 120,473.47/397.32
  6. Step 6: Final answer
    x = 303.22

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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.