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Finding the Fourth Proportional to 472.08, 651.47 and 275.61

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Solution

The fourth proportional to 472.08, 651.47 and 275.61 is: 380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.08 : 651.47 = 275.61 : x
  2. Step 2: Convert to fraction form
    472.08/651.47 = 275.61/x
  3. Step 3: Cross multiply
    472.08x = 651.47 × 275.61
  4. Step 4: Simplify right side
    472.08x = 179,550.27
  5. Step 5: Solve for x
    x = 179,550.27/472.08
  6. Step 6: Final answer
    x = 380.34

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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.