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Finding the Fourth Proportional to 359.49, 538.02 and 214.50

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Solution

The fourth proportional to 359.49, 538.02 and 214.50 is: 321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.49 : 538.02 = 214.50 : x
  2. Step 2: Convert to fraction form
    359.49/538.02 = 214.50/x
  3. Step 3: Cross multiply
    359.49x = 538.02 × 214.50
  4. Step 4: Simplify right side
    359.49x = 115,405.29
  5. Step 5: Solve for x
    x = 115,405.29/359.49
  6. Step 6: Final answer
    x = 321.03

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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.