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Finding the Fourth Proportional to 651.32, 974.89 and 354.44

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Solution

The fourth proportional to 651.32, 974.89 and 354.44 is: 530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.32 : 974.89 = 354.44 : x
  2. Step 2: Convert to fraction form
    651.32/974.89 = 354.44/x
  3. Step 3: Cross multiply
    651.32x = 974.89 × 354.44
  4. Step 4: Simplify right side
    651.32x = 345,540.90
  5. Step 5: Solve for x
    x = 345,540.90/651.32
  6. Step 6: Final answer
    x = 530.52

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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.