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Finding the Fourth Proportional to 474.18, 654.14 and 277.66

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Solution

The fourth proportional to 474.18, 654.14 and 277.66 is: 383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.18 : 654.14 = 277.66 : x
  2. Step 2: Convert to fraction form
    474.18/654.14 = 277.66/x
  3. Step 3: Cross multiply
    474.18x = 654.14 × 277.66
  4. Step 4: Simplify right side
    474.18x = 181,628.51
  5. Step 5: Solve for x
    x = 181,628.51/474.18
  6. Step 6: Final answer
    x = 383.04

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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.