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Finding the Fourth Proportional to 359.57, 537.06 and 310.97

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Solution

The fourth proportional to 359.57, 537.06 and 310.97 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.57 : 537.06 = 310.97 : x
  2. Step 2: Convert to fraction form
    359.57/537.06 = 310.97/x
  3. Step 3: Cross multiply
    359.57x = 537.06 × 310.97
  4. Step 4: Simplify right side
    359.57x = 167,012.06
  5. Step 5: Solve for x
    x = 167,012.06/359.57
  6. Step 6: Final answer
    x = 464.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.