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Finding the Fourth Proportional to 931.22, 1,396.82 and 314.93

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Solution

The fourth proportional to 931.22, 1,396.82 and 314.93 is: 472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.22 : 1,396.82 = 314.93 : x
  2. Step 2: Convert to fraction form
    931.22/1,396.82 = 314.93/x
  3. Step 3: Cross multiply
    931.22x = 1,396.82 × 314.93
  4. Step 4: Simplify right side
    931.22x = 439,900.52
  5. Step 5: Solve for x
    x = 439,900.52/931.22
  6. Step 6: Final answer
    x = 472.39

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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.