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Finding the Fourth Proportional to 650.90, 976.56 and 286.00

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Solution

The fourth proportional to 650.90, 976.56 and 286.00 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.90 : 976.56 = 286.00 : x
  2. Step 2: Convert to fraction form
    650.90/976.56 = 286.00/x
  3. Step 3: Cross multiply
    650.90x = 976.56 × 286.00
  4. Step 4: Simplify right side
    650.90x = 279,289.85
  5. Step 5: Solve for x
    x = 279,289.85/650.90
  6. Step 6: Final answer
    x = 429.08

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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.