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Finding the Fourth Proportional to 634.32, 950.58 and 597.96

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Solution

The fourth proportional to 634.32, 950.58 and 597.96 is: 896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.32 : 950.58 = 597.96 : x
  2. Step 2: Convert to fraction form
    634.32/950.58 = 597.96/x
  3. Step 3: Cross multiply
    634.32x = 950.58 × 597.96
  4. Step 4: Simplify right side
    634.32x = 568,408.82
  5. Step 5: Solve for x
    x = 568,408.82/634.32
  6. Step 6: Final answer
    x = 896.09

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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.