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Finding the Fourth Proportional to 651.25, 976.69 and 304.37

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Solution

The fourth proportional to 651.25, 976.69 and 304.37 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.25 : 976.69 = 304.37 : x
  2. Step 2: Convert to fraction form
    651.25/976.69 = 304.37/x
  3. Step 3: Cross multiply
    651.25x = 976.69 × 304.37
  4. Step 4: Simplify right side
    651.25x = 297,275.14
  5. Step 5: Solve for x
    x = 297,275.14/651.25
  6. Step 6: Final answer
    x = 456.47

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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.