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Finding the Fourth Proportional to 650.93, 976.07 and 304.18

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Solution

The fourth proportional to 650.93, 976.07 and 304.18 is: 456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.93 : 976.07 = 304.18 : x
  2. Step 2: Convert to fraction form
    650.93/976.07 = 304.18/x
  3. Step 3: Cross multiply
    650.93x = 976.07 × 304.18
  4. Step 4: Simplify right side
    650.93x = 296,899.29
  5. Step 5: Solve for x
    x = 296,899.29/650.93
  6. Step 6: Final answer
    x = 456.12

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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.