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Finding the Fourth Proportional to 651.17, 976.83 and 286.20

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Solution

The fourth proportional to 651.17, 976.83 and 286.20 is: 429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.17 : 976.83 = 286.20 : x
  2. Step 2: Convert to fraction form
    651.17/976.83 = 286.20/x
  3. Step 3: Cross multiply
    651.17x = 976.83 × 286.20
  4. Step 4: Simplify right side
    651.17x = 279,567.67
  5. Step 5: Solve for x
    x = 279,567.67/651.17
  6. Step 6: Final answer
    x = 429.33

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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.