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Finding the Fourth Proportional to 493.47, 680.94 and 297

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Solution

The fourth proportional to 493.47, 680.94 and 297 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 680.94 = 297 : x
  2. Step 2: Convert to fraction form
    493.47/680.94 = 297/x
  3. Step 3: Cross multiply
    493.47x = 680.94 × 297
  4. Step 4: Simplify right side
    493.47x = 202,239.18
  5. Step 5: Solve for x
    x = 202,239.18/493.47
  6. Step 6: Final answer
    x = 409.83

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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.