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Finding the Fourth Proportional to 359.68, 538.77 and 215.32

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Solution

The fourth proportional to 359.68, 538.77 and 215.32 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.68 : 538.77 = 215.32 : x
  2. Step 2: Convert to fraction form
    359.68/538.77 = 215.32/x
  3. Step 3: Cross multiply
    359.68x = 538.77 × 215.32
  4. Step 4: Simplify right side
    359.68x = 116,007.96
  5. Step 5: Solve for x
    x = 116,007.96/359.68
  6. Step 6: Final answer
    x = 322.53

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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.