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Finding the Fourth Proportional to 651.34, 976.80 and 286.03

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Solution

The fourth proportional to 651.34, 976.80 and 286.03 is: 428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.34 : 976.80 = 286.03 : x
  2. Step 2: Convert to fraction form
    651.34/976.80 = 286.03/x
  3. Step 3: Cross multiply
    651.34x = 976.80 × 286.03
  4. Step 4: Simplify right side
    651.34x = 279,389.22
  5. Step 5: Solve for x
    x = 279,389.22/651.34
  6. Step 6: Final answer
    x = 428.95

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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.