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Finding the Fourth Proportional to 359.46, 538.77 and 278.07

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Solution

The fourth proportional to 359.46, 538.77 and 278.07 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 538.77 = 278.07 : x
  2. Step 2: Convert to fraction form
    359.46/538.77 = 278.07/x
  3. Step 3: Cross multiply
    359.46x = 538.77 × 278.07
  4. Step 4: Simplify right side
    359.46x = 149,815.77
  5. Step 5: Solve for x
    x = 149,815.77/359.46
  6. Step 6: Final answer
    x = 416.78

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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.