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Finding the Fourth Proportional to 651.26, 976.73 and 304.26

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Solution

The fourth proportional to 651.26, 976.73 and 304.26 is: 456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.26 : 976.73 = 304.26 : x
  2. Step 2: Convert to fraction form
    651.26/976.73 = 304.26/x
  3. Step 3: Cross multiply
    651.26x = 976.73 × 304.26
  4. Step 4: Simplify right side
    651.26x = 297,178.35
  5. Step 5: Solve for x
    x = 297,178.35/651.26
  6. Step 6: Final answer
    x = 456.32

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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.