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Finding the Fourth Proportional to 398.84, 594.14 and 386.74

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Solution

The fourth proportional to 398.84, 594.14 and 386.74 is: 576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.84 : 594.14 = 386.74 : x
  2. Step 2: Convert to fraction form
    398.84/594.14 = 386.74/x
  3. Step 3: Cross multiply
    398.84x = 594.14 × 386.74
  4. Step 4: Simplify right side
    398.84x = 229,777.70
  5. Step 5: Solve for x
    x = 229,777.70/398.84
  6. Step 6: Final answer
    x = 576.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.