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Finding the Fourth Proportional to 474.78, 711.74 and 255.52

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Solution

The fourth proportional to 474.78, 711.74 and 255.52 is: 383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.78 : 711.74 = 255.52 : x
  2. Step 2: Convert to fraction form
    474.78/711.74 = 255.52/x
  3. Step 3: Cross multiply
    474.78x = 711.74 × 255.52
  4. Step 4: Simplify right side
    474.78x = 181,862.92
  5. Step 5: Solve for x
    x = 181,862.92/474.78
  6. Step 6: Final answer
    x = 383.05

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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.