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Finding the Fourth Proportional to 397.23, 597.06 and 388.73

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Solution

The fourth proportional to 397.23, 597.06 and 388.73 is: 584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.23 : 597.06 = 388.73 : x
  2. Step 2: Convert to fraction form
    397.23/597.06 = 388.73/x
  3. Step 3: Cross multiply
    397.23x = 597.06 × 388.73
  4. Step 4: Simplify right side
    397.23x = 232,095.13
  5. Step 5: Solve for x
    x = 232,095.13/397.23
  6. Step 6: Final answer
    x = 584.28

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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.