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Finding the Fourth Proportional to 398.88, 596.94 and 316.89

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Solution

The fourth proportional to 398.88, 596.94 and 316.89 is: 474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.88 : 596.94 = 316.89 : x
  2. Step 2: Convert to fraction form
    398.88/596.94 = 316.89/x
  3. Step 3: Cross multiply
    398.88x = 596.94 × 316.89
  4. Step 4: Simplify right side
    398.88x = 189,164.32
  5. Step 5: Solve for x
    x = 189,164.32/398.88
  6. Step 6: Final answer
    x = 474.24

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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.