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Finding the Fourth Proportional to 650.35, 975.12 and 284.84

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Solution

The fourth proportional to 650.35, 975.12 and 284.84 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.35 : 975.12 = 284.84 : x
  2. Step 2: Convert to fraction form
    650.35/975.12 = 284.84/x
  3. Step 3: Cross multiply
    650.35x = 975.12 × 284.84
  4. Step 4: Simplify right side
    650.35x = 277,753.18
  5. Step 5: Solve for x
    x = 277,753.18/650.35
  6. Step 6: Final answer
    x = 427.08

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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.