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Finding the Fourth Proportional to 472.46, 651.96 and 259.73

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Solution

The fourth proportional to 472.46, 651.96 and 259.73 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.46 : 651.96 = 259.73 : x
  2. Step 2: Convert to fraction form
    472.46/651.96 = 259.73/x
  3. Step 3: Cross multiply
    472.46x = 651.96 × 259.73
  4. Step 4: Simplify right side
    472.46x = 169,333.57
  5. Step 5: Solve for x
    x = 169,333.57/472.46
  6. Step 6: Final answer
    x = 358.41

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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.