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Finding the Fourth Proportional to 472.14, 651.60 and 275.64

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Solution

The fourth proportional to 472.14, 651.60 and 275.64 is: 380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 651.60 = 275.64 : x
  2. Step 2: Convert to fraction form
    472.14/651.60 = 275.64/x
  3. Step 3: Cross multiply
    472.14x = 651.60 × 275.64
  4. Step 4: Simplify right side
    472.14x = 179,607.02
  5. Step 5: Solve for x
    x = 179,607.02/472.14
  6. Step 6: Final answer
    x = 380.41

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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.