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Finding the Fourth Proportional to 474.81, 655.19 and 278.28

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Solution

The fourth proportional to 474.81, 655.19 and 278.28 is: 384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.81 : 655.19 = 278.28 : x
  2. Step 2: Convert to fraction form
    474.81/655.19 = 278.28/x
  3. Step 3: Cross multiply
    474.81x = 655.19 × 278.28
  4. Step 4: Simplify right side
    474.81x = 182,325.58
  5. Step 5: Solve for x
    x = 182,325.58/474.81
  6. Step 6: Final answer
    x = 384.00

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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.