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Finding the Fourth Proportional to 650.24, 975.42 and 303.66

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Solution

The fourth proportional to 650.24, 975.42 and 303.66 is: 455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 975.42 = 303.66 : x
  2. Step 2: Convert to fraction form
    650.24/975.42 = 303.66/x
  3. Step 3: Cross multiply
    650.24x = 975.42 × 303.66
  4. Step 4: Simplify right side
    650.24x = 296,196.04
  5. Step 5: Solve for x
    x = 296,196.04/650.24
  6. Step 6: Final answer
    x = 455.52

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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.