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Finding the Fourth Proportional to 650.34, 974.95 and 284.87

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Solution

The fourth proportional to 650.34, 974.95 and 284.87 is: 427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.34 : 974.95 = 284.87 : x
  2. Step 2: Convert to fraction form
    650.34/974.95 = 284.87/x
  3. Step 3: Cross multiply
    650.34x = 974.95 × 284.87
  4. Step 4: Simplify right side
    650.34x = 277,734.01
  5. Step 5: Solve for x
    x = 277,734.01/650.34
  6. Step 6: Final answer
    x = 427.06

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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.