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Finding the Fourth Proportional to 650.32, 975.69 and 284.86

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Solution

The fourth proportional to 650.32, 975.69 and 284.86 is: 427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 975.69 = 284.86 : x
  2. Step 2: Convert to fraction form
    650.32/975.69 = 284.86/x
  3. Step 3: Cross multiply
    650.32x = 975.69 × 284.86
  4. Step 4: Simplify right side
    650.32x = 277,935.05
  5. Step 5: Solve for x
    x = 277,935.05/650.32
  6. Step 6: Final answer
    x = 427.38

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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.