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Finding the Fourth Proportional to 474.08, 710.73 and 254.48

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Solution

The fourth proportional to 474.08, 710.73 and 254.48 is: 381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 710.73 = 254.48 : x
  2. Step 2: Convert to fraction form
    474.08/710.73 = 254.48/x
  3. Step 3: Cross multiply
    474.08x = 710.73 × 254.48
  4. Step 4: Simplify right side
    474.08x = 180,863.02
  5. Step 5: Solve for x
    x = 180,863.02/474.08
  6. Step 6: Final answer
    x = 381.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.