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Finding the Fourth Proportional to 604.06, 904.87 and 398.12

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Solution

The fourth proportional to 604.06, 904.87 and 398.12 is: 596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.06 : 904.87 = 398.12 : x
  2. Step 2: Convert to fraction form
    604.06/904.87 = 398.12/x
  3. Step 3: Cross multiply
    604.06x = 904.87 × 398.12
  4. Step 4: Simplify right side
    604.06x = 360,246.84
  5. Step 5: Solve for x
    x = 360,246.84/604.06
  6. Step 6: Final answer
    x = 596.38

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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.