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Finding the Fourth Proportional to 314.93, 471.34 and 287.56

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Solution

The fourth proportional to 314.93, 471.34 and 287.56 is: 430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.93 : 471.34 = 287.56 : x
  2. Step 2: Convert to fraction form
    314.93/471.34 = 287.56/x
  3. Step 3: Cross multiply
    314.93x = 471.34 × 287.56
  4. Step 4: Simplify right side
    314.93x = 135,537.71
  5. Step 5: Solve for x
    x = 135,537.71/314.93
  6. Step 6: Final answer
    x = 430.37

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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.