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Finding the Fourth Proportional to 472.24, 650.52 and 444.88

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Solution

The fourth proportional to 472.24, 650.52 and 444.88 is: 612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 650.52 = 444.88 : x
  2. Step 2: Convert to fraction form
    472.24/650.52 = 444.88/x
  3. Step 3: Cross multiply
    472.24x = 650.52 × 444.88
  4. Step 4: Simplify right side
    472.24x = 289,403.34
  5. Step 5: Solve for x
    x = 289,403.34/472.24
  6. Step 6: Final answer
    x = 612.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.