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Finding the Fourth Proportional to 650.58, 976.07 and 304.13

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Solution

The fourth proportional to 650.58, 976.07 and 304.13 is: 456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.58 : 976.07 = 304.13 : x
  2. Step 2: Convert to fraction form
    650.58/976.07 = 304.13/x
  3. Step 3: Cross multiply
    650.58x = 976.07 × 304.13
  4. Step 4: Simplify right side
    650.58x = 296,845.77
  5. Step 5: Solve for x
    x = 296,845.77/650.58
  6. Step 6: Final answer
    x = 456.28

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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.