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Finding the Fourth Proportional to 650.25, 975.06 and 284.81

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Solution

The fourth proportional to 650.25, 975.06 and 284.81 is: 427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.25 : 975.06 = 284.81 : x
  2. Step 2: Convert to fraction form
    650.25/975.06 = 284.81/x
  3. Step 3: Cross multiply
    650.25x = 975.06 × 284.81
  4. Step 4: Simplify right side
    650.25x = 277,705.41
  5. Step 5: Solve for x
    x = 277,705.41/650.25
  6. Step 6: Final answer
    x = 427.07

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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.