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Finding the Fourth Proportional to 474.64, 655.02 and 278.14

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Solution

The fourth proportional to 474.64, 655.02 and 278.14 is: 383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.64 : 655.02 = 278.14 : x
  2. Step 2: Convert to fraction form
    474.64/655.02 = 278.14/x
  3. Step 3: Cross multiply
    474.64x = 655.02 × 278.14
  4. Step 4: Simplify right side
    474.64x = 182,187.26
  5. Step 5: Solve for x
    x = 182,187.26/474.64
  6. Step 6: Final answer
    x = 383.84

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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.