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Finding the Fourth Proportional to 397.08, 594.68 and 295.02

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Solution

The fourth proportional to 397.08, 594.68 and 295.02 is: 441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 594.68 = 295.02 : x
  2. Step 2: Convert to fraction form
    397.08/594.68 = 295.02/x
  3. Step 3: Cross multiply
    397.08x = 594.68 × 295.02
  4. Step 4: Simplify right side
    397.08x = 175,441.02
  5. Step 5: Solve for x
    x = 175,441.02/397.08
  6. Step 6: Final answer
    x = 441.83

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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.