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Finding the Fourth Proportional to 650.91, 977.27 and 334.52

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Solution

The fourth proportional to 650.91, 977.27 and 334.52 is: 502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.91 : 977.27 = 334.52 : x
  2. Step 2: Convert to fraction form
    650.91/977.27 = 334.52/x
  3. Step 3: Cross multiply
    650.91x = 977.27 × 334.52
  4. Step 4: Simplify right side
    650.91x = 326,909.80
  5. Step 5: Solve for x
    x = 326,909.80/650.91
  6. Step 6: Final answer
    x = 502.24

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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.