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Finding the Fourth Proportional to 472.12, 651.42 and 275.68

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Solution

The fourth proportional to 472.12, 651.42 and 275.68 is: 380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 651.42 = 275.68 : x
  2. Step 2: Convert to fraction form
    472.12/651.42 = 275.68/x
  3. Step 3: Cross multiply
    472.12x = 651.42 × 275.68
  4. Step 4: Simplify right side
    472.12x = 179,583.47
  5. Step 5: Solve for x
    x = 179,583.47/472.12
  6. Step 6: Final answer
    x = 380.38

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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.