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Finding the Fourth Proportional to 397.42, 595.32 and 323.98

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Solution

The fourth proportional to 397.42, 595.32 and 323.98 is: 485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.42 : 595.32 = 323.98 : x
  2. Step 2: Convert to fraction form
    397.42/595.32 = 323.98/x
  3. Step 3: Cross multiply
    397.42x = 595.32 × 323.98
  4. Step 4: Simplify right side
    397.42x = 192,871.77
  5. Step 5: Solve for x
    x = 192,871.77/397.42
  6. Step 6: Final answer
    x = 485.31

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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.