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Finding the Fourth Proportional to 359.03, 496.33 and 314.38

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Solution

The fourth proportional to 359.03, 496.33 and 314.38 is: 434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.03 : 496.33 = 314.38 : x
  2. Step 2: Convert to fraction form
    359.03/496.33 = 314.38/x
  3. Step 3: Cross multiply
    359.03x = 496.33 × 314.38
  4. Step 4: Simplify right side
    359.03x = 156,036.06
  5. Step 5: Solve for x
    x = 156,036.06/359.03
  6. Step 6: Final answer
    x = 434.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.