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Finding the Fourth Proportional to 397.89, 595.47 and 335.93

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Solution

The fourth proportional to 397.89, 595.47 and 335.93 is: 502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 595.47 = 335.93 : x
  2. Step 2: Convert to fraction form
    397.89/595.47 = 335.93/x
  3. Step 3: Cross multiply
    397.89x = 595.47 × 335.93
  4. Step 4: Simplify right side
    397.89x = 200,033.26
  5. Step 5: Solve for x
    x = 200,033.26/397.89
  6. Step 6: Final answer
    x = 502.74

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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.