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Finding the Fourth Proportional to 472.11, 651.69 and 275.63

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Solution

The fourth proportional to 472.11, 651.69 and 275.63 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.11 : 651.69 = 275.63 : x
  2. Step 2: Convert to fraction form
    472.11/651.69 = 275.63/x
  3. Step 3: Cross multiply
    472.11x = 651.69 × 275.63
  4. Step 4: Simplify right side
    472.11x = 179,622.06
  5. Step 5: Solve for x
    x = 179,622.06/472.11
  6. Step 6: Final answer
    x = 380.47

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