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Finding the Fourth Proportional to 474.12, 654.30 and 277.76

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Solution

The fourth proportional to 474.12, 654.30 and 277.76 is: 383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 654.30 = 277.76 : x
  2. Step 2: Convert to fraction form
    474.12/654.30 = 277.76/x
  3. Step 3: Cross multiply
    474.12x = 654.30 × 277.76
  4. Step 4: Simplify right side
    474.12x = 181,738.37
  5. Step 5: Solve for x
    x = 181,738.37/474.12
  6. Step 6: Final answer
    x = 383.32

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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.