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Finding the Fourth Proportional to 538.12, 742.62 and 317.12

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Solution

The fourth proportional to 538.12, 742.62 and 317.12 is: 437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.12 : 742.62 = 317.12 : x
  2. Step 2: Convert to fraction form
    538.12/742.62 = 317.12/x
  3. Step 3: Cross multiply
    538.12x = 742.62 × 317.12
  4. Step 4: Simplify right side
    538.12x = 235,499.65
  5. Step 5: Solve for x
    x = 235,499.65/538.12
  6. Step 6: Final answer
    x = 437.63

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