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Finding the Fourth Proportional to 472.54, 708.81 and 256.22

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Solution

The fourth proportional to 472.54, 708.81 and 256.22 is: 384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.54 : 708.81 = 256.22 : x
  2. Step 2: Convert to fraction form
    472.54/708.81 = 256.22/x
  3. Step 3: Cross multiply
    472.54x = 708.81 × 256.22
  4. Step 4: Simplify right side
    472.54x = 181,611.30
  5. Step 5: Solve for x
    x = 181,611.30/472.54
  6. Step 6: Final answer
    x = 384.33

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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.