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Finding the Fourth Proportional to 507.31, 700.11 and 310.71

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Solution

The fourth proportional to 507.31, 700.11 and 310.71 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.31 : 700.11 = 310.71 : x
  2. Step 2: Convert to fraction form
    507.31/700.11 = 310.71/x
  3. Step 3: Cross multiply
    507.31x = 700.11 × 310.71
  4. Step 4: Simplify right side
    507.31x = 217,530.52
  5. Step 5: Solve for x
    x = 217,530.52/507.31
  6. Step 6: Final answer
    x = 428.79

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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.