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Finding the Fourth Proportional to 359.09, 538.25 and 235.31

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Solution

The fourth proportional to 359.09, 538.25 and 235.31 is: 352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.09 : 538.25 = 235.31 : x
  2. Step 2: Convert to fraction form
    359.09/538.25 = 235.31/x
  3. Step 3: Cross multiply
    359.09x = 538.25 × 235.31
  4. Step 4: Simplify right side
    359.09x = 126,653.50
  5. Step 5: Solve for x
    x = 126,653.50/359.09
  6. Step 6: Final answer
    x = 352.70

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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.