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Finding the Fourth Proportional to 397.17, 594.73 and 274.15

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Solution

The fourth proportional to 397.17, 594.73 and 274.15 is: 410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.17 : 594.73 = 274.15 : x
  2. Step 2: Convert to fraction form
    397.17/594.73 = 274.15/x
  3. Step 3: Cross multiply
    397.17x = 594.73 × 274.15
  4. Step 4: Simplify right side
    397.17x = 163,045.29
  5. Step 5: Solve for x
    x = 163,045.29/397.17
  6. Step 6: Final answer
    x = 410.52

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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.