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Finding the Fourth Proportional to 359.56, 540.78 and 356.36

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Solution

The fourth proportional to 359.56, 540.78 and 356.36 is: 535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.56 : 540.78 = 356.36 : x
  2. Step 2: Convert to fraction form
    359.56/540.78 = 356.36/x
  3. Step 3: Cross multiply
    359.56x = 540.78 × 356.36
  4. Step 4: Simplify right side
    359.56x = 192,712.36
  5. Step 5: Solve for x
    x = 192,712.36/359.56
  6. Step 6: Final answer
    x = 535.97

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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.