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Finding the Fourth Proportional to 399.24, 598.74 and 110.70

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Solution

The fourth proportional to 399.24, 598.74 and 110.70 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.24 : 598.74 = 110.70 : x
  2. Step 2: Convert to fraction form
    399.24/598.74 = 110.70/x
  3. Step 3: Cross multiply
    399.24x = 598.74 × 110.70
  4. Step 4: Simplify right side
    399.24x = 66,280.52
  5. Step 5: Solve for x
    x = 66,280.52/399.24
  6. Step 6: Final answer
    x = 166.02

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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.