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Finding the Fourth Proportional to 398.15, 597.23 and 105.65

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Solution

The fourth proportional to 398.15, 597.23 and 105.65 is: 158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.15 : 597.23 = 105.65 : x
  2. Step 2: Convert to fraction form
    398.15/597.23 = 105.65/x
  3. Step 3: Cross multiply
    398.15x = 597.23 × 105.65
  4. Step 4: Simplify right side
    398.15x = 63,097.35
  5. Step 5: Solve for x
    x = 63,097.35/398.15
  6. Step 6: Final answer
    x = 158.48

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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.