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Finding the Fourth Proportional to 651.24, 976.95 and 286.34

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Solution

The fourth proportional to 651.24, 976.95 and 286.34 is: 429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 976.95 = 286.34 : x
  2. Step 2: Convert to fraction form
    651.24/976.95 = 286.34/x
  3. Step 3: Cross multiply
    651.24x = 976.95 × 286.34
  4. Step 4: Simplify right side
    651.24x = 279,734.98
  5. Step 5: Solve for x
    x = 279,734.98/651.24
  6. Step 6: Final answer
    x = 429.54

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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.