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Finding the Fourth Proportional to 392.78, 586.26 and 346.65

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Solution

The fourth proportional to 392.78, 586.26 and 346.65 is: 517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.78 : 586.26 = 346.65 : x
  2. Step 2: Convert to fraction form
    392.78/586.26 = 346.65/x
  3. Step 3: Cross multiply
    392.78x = 586.26 × 346.65
  4. Step 4: Simplify right side
    392.78x = 203,227.03
  5. Step 5: Solve for x
    x = 203,227.03/392.78
  6. Step 6: Final answer
    x = 517.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.