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Finding the Fourth Proportional to 398.53, 597.72 and 109.99

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Solution

The fourth proportional to 398.53, 597.72 and 109.99 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.53 : 597.72 = 109.99 : x
  2. Step 2: Convert to fraction form
    398.53/597.72 = 109.99/x
  3. Step 3: Cross multiply
    398.53x = 597.72 × 109.99
  4. Step 4: Simplify right side
    398.53x = 65,743.22
  5. Step 5: Solve for x
    x = 65,743.22/398.53
  6. Step 6: Final answer
    x = 164.96

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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.