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Finding the Fourth Proportional to 359.46, 538.38 and 313.56

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Solution

The fourth proportional to 359.46, 538.38 and 313.56 is: 469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 538.38 = 313.56 : x
  2. Step 2: Convert to fraction form
    359.46/538.38 = 313.56/x
  3. Step 3: Cross multiply
    359.46x = 538.38 × 313.56
  4. Step 4: Simplify right side
    359.46x = 168,814.43
  5. Step 5: Solve for x
    x = 168,814.43/359.46
  6. Step 6: Final answer
    x = 469.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.