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Finding the Fourth Proportional to 359.42, 538.41 and 237.30

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Solution

The fourth proportional to 359.42, 538.41 and 237.30 is: 355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 538.41 = 237.30 : x
  2. Step 2: Convert to fraction form
    359.42/538.41 = 237.30/x
  3. Step 3: Cross multiply
    359.42x = 538.41 × 237.30
  4. Step 4: Simplify right side
    359.42x = 127,764.69
  5. Step 5: Solve for x
    x = 127,764.69/359.42
  6. Step 6: Final answer
    x = 355.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.