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Finding the Fourth Proportional to 359.76, 496.24 and 313.16

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Solution

The fourth proportional to 359.76, 496.24 and 313.16 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.76 : 496.24 = 313.16 : x
  2. Step 2: Convert to fraction form
    359.76/496.24 = 313.16/x
  3. Step 3: Cross multiply
    359.76x = 496.24 × 313.16
  4. Step 4: Simplify right side
    359.76x = 155,402.52
  5. Step 5: Solve for x
    x = 155,402.52/359.76
  6. Step 6: Final answer
    x = 431.96

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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.