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Finding the Fourth Proportional to 651.84, 976.94 and 286.26

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Solution

The fourth proportional to 651.84, 976.94 and 286.26 is: 429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 976.94 = 286.26 : x
  2. Step 2: Convert to fraction form
    651.84/976.94 = 286.26/x
  3. Step 3: Cross multiply
    651.84x = 976.94 × 286.26
  4. Step 4: Simplify right side
    651.84x = 279,658.84
  5. Step 5: Solve for x
    x = 279,658.84/651.84
  6. Step 6: Final answer
    x = 429.03

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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.