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Finding the Fourth Proportional to 398.79, 594.61 and 391.50

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Solution

The fourth proportional to 398.79, 594.61 and 391.50 is: 583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.79 : 594.61 = 391.50 : x
  2. Step 2: Convert to fraction form
    398.79/594.61 = 391.50/x
  3. Step 3: Cross multiply
    398.79x = 594.61 × 391.50
  4. Step 4: Simplify right side
    398.79x = 232,788.84
  5. Step 5: Solve for x
    x = 232,788.84/398.79
  6. Step 6: Final answer
    x = 583.74

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Why These Related Problems?

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