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Finding the Fourth Proportional to 493.47, 680.90 and 283.59

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Solution

The fourth proportional to 493.47, 680.90 and 283.59 is: 391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 680.90 = 283.59 : x
  2. Step 2: Convert to fraction form
    493.47/680.90 = 283.59/x
  3. Step 3: Cross multiply
    493.47x = 680.90 × 283.59
  4. Step 4: Simplify right side
    493.47x = 193,095.01
  5. Step 5: Solve for x
    x = 193,095.01/493.47
  6. Step 6: Final answer
    x = 391.30

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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.