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Finding the Fourth Proportional to 399.03, 598.33 and 125.05

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Solution

The fourth proportional to 399.03, 598.33 and 125.05 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.03 : 598.33 = 125.05 : x
  2. Step 2: Convert to fraction form
    399.03/598.33 = 125.05/x
  3. Step 3: Cross multiply
    399.03x = 598.33 × 125.05
  4. Step 4: Simplify right side
    399.03x = 74,818.17
  5. Step 5: Solve for x
    x = 74,818.17/399.03
  6. Step 6: Final answer
    x = 187.50

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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.