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Finding the Fourth Proportional to 651.09, 976.62 and 285.78

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Solution

The fourth proportional to 651.09, 976.62 and 285.78 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.09 : 976.62 = 285.78 : x
  2. Step 2: Convert to fraction form
    651.09/976.62 = 285.78/x
  3. Step 3: Cross multiply
    651.09x = 976.62 × 285.78
  4. Step 4: Simplify right side
    651.09x = 279,098.46
  5. Step 5: Solve for x
    x = 279,098.46/651.09
  6. Step 6: Final answer
    x = 428.66

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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.