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Finding the Fourth Proportional to 359.46, 538.74 and 237.83

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Solution

The fourth proportional to 359.46, 538.74 and 237.83 is: 356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 538.74 = 237.83 : x
  2. Step 2: Convert to fraction form
    359.46/538.74 = 237.83/x
  3. Step 3: Cross multiply
    359.46x = 538.74 × 237.83
  4. Step 4: Simplify right side
    359.46x = 128,125.84
  5. Step 5: Solve for x
    x = 128,125.84/359.46
  6. Step 6: Final answer
    x = 356.44

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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.