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Finding the Fourth Proportional to 359.93, 538.81 and 263.81

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Solution

The fourth proportional to 359.93, 538.81 and 263.81 is: 394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.93 : 538.81 = 263.81 : x
  2. Step 2: Convert to fraction form
    359.93/538.81 = 263.81/x
  3. Step 3: Cross multiply
    359.93x = 538.81 × 263.81
  4. Step 4: Simplify right side
    359.93x = 142,143.47
  5. Step 5: Solve for x
    x = 142,143.47/359.93
  6. Step 6: Final answer
    x = 394.92

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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.