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Finding the Fourth Proportional to 594.95, 821.30 and 398.57

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Solution

The fourth proportional to 594.95, 821.30 and 398.57 is: 550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.95 : 821.30 = 398.57 : x
  2. Step 2: Convert to fraction form
    594.95/821.30 = 398.57/x
  3. Step 3: Cross multiply
    594.95x = 821.30 × 398.57
  4. Step 4: Simplify right side
    594.95x = 327,339.44
  5. Step 5: Solve for x
    x = 327,339.44/594.95
  6. Step 6: Final answer
    x = 550.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.