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Finding the Fourth Proportional to 650.04, 975.08 and 284.64

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Solution

The fourth proportional to 650.04, 975.08 and 284.64 is: 426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.04 : 975.08 = 284.64 : x
  2. Step 2: Convert to fraction form
    650.04/975.08 = 284.64/x
  3. Step 3: Cross multiply
    650.04x = 975.08 × 284.64
  4. Step 4: Simplify right side
    650.04x = 277,546.77
  5. Step 5: Solve for x
    x = 277,546.77/650.04
  6. Step 6: Final answer
    x = 426.97

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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.