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Finding the Fourth Proportional to 474.64, 654.99 and 278.26

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Solution

The fourth proportional to 474.64, 654.99 and 278.26 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.64 : 654.99 = 278.26 : x
  2. Step 2: Convert to fraction form
    474.64/654.99 = 278.26/x
  3. Step 3: Cross multiply
    474.64x = 654.99 × 278.26
  4. Step 4: Simplify right side
    474.64x = 182,257.52
  5. Step 5: Solve for x
    x = 182,257.52/474.64
  6. Step 6: Final answer
    x = 383.99

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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.