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Finding the Fourth Proportional to 420.46, 632.51 and 398.59

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Solution

The fourth proportional to 420.46, 632.51 and 398.59 is: 599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.46 : 632.51 = 398.59 : x
  2. Step 2: Convert to fraction form
    420.46/632.51 = 398.59/x
  3. Step 3: Cross multiply
    420.46x = 632.51 × 398.59
  4. Step 4: Simplify right side
    420.46x = 252,112.16
  5. Step 5: Solve for x
    x = 252,112.16/420.46
  6. Step 6: Final answer
    x = 599.61

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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.