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Finding the Fourth Proportional to 359.78, 538.99 and 302.37

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Solution

The fourth proportional to 359.78, 538.99 and 302.37 is: 452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.78 : 538.99 = 302.37 : x
  2. Step 2: Convert to fraction form
    359.78/538.99 = 302.37/x
  3. Step 3: Cross multiply
    359.78x = 538.99 × 302.37
  4. Step 4: Simplify right side
    359.78x = 162,974.41
  5. Step 5: Solve for x
    x = 162,974.41/359.78
  6. Step 6: Final answer
    x = 452.98

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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.