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Finding the Fourth Proportional to 397.98, 598.36 and 215.74

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Solution

The fourth proportional to 397.98, 598.36 and 215.74 is: 324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 598.36 = 215.74 : x
  2. Step 2: Convert to fraction form
    397.98/598.36 = 215.74/x
  3. Step 3: Cross multiply
    397.98x = 598.36 × 215.74
  4. Step 4: Simplify right side
    397.98x = 129,090.19
  5. Step 5: Solve for x
    x = 129,090.19/397.98
  6. Step 6: Final answer
    x = 324.36

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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.