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Finding the Fourth Proportional to 397.60, 595.62 and 243.46

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Solution

The fourth proportional to 397.60, 595.62 and 243.46 is: 364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.60 : 595.62 = 243.46 : x
  2. Step 2: Convert to fraction form
    397.60/595.62 = 243.46/x
  3. Step 3: Cross multiply
    397.60x = 595.62 × 243.46
  4. Step 4: Simplify right side
    397.60x = 145,009.65
  5. Step 5: Solve for x
    x = 145,009.65/397.60
  6. Step 6: Final answer
    x = 364.71

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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.