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Finding the Fourth Proportional to 399.07, 598.64 and 110.50

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Solution

The fourth proportional to 399.07, 598.64 and 110.50 is: 165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.07 : 598.64 = 110.50 : x
  2. Step 2: Convert to fraction form
    399.07/598.64 = 110.50/x
  3. Step 3: Cross multiply
    399.07x = 598.64 × 110.50
  4. Step 4: Simplify right side
    399.07x = 66,149.72
  5. Step 5: Solve for x
    x = 66,149.72/399.07
  6. Step 6: Final answer
    x = 165.76

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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.