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Finding the Fourth Proportional to 392.80, 590.42 and 357.56

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Solution

The fourth proportional to 392.80, 590.42 and 357.56 is: 537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 590.42 = 357.56 : x
  2. Step 2: Convert to fraction form
    392.80/590.42 = 357.56/x
  3. Step 3: Cross multiply
    392.80x = 590.42 × 357.56
  4. Step 4: Simplify right side
    392.80x = 211,110.58
  5. Step 5: Solve for x
    x = 211,110.58/392.80
  6. Step 6: Final answer
    x = 537.45

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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.