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Finding the Fourth Proportional to 931.25, 1,396.91 and 314.98

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Solution

The fourth proportional to 931.25, 1,396.91 and 314.98 is: 472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.25 : 1,396.91 = 314.98 : x
  2. Step 2: Convert to fraction form
    931.25/1,396.91 = 314.98/x
  3. Step 3: Cross multiply
    931.25x = 1,396.91 × 314.98
  4. Step 4: Simplify right side
    931.25x = 439,996.01
  5. Step 5: Solve for x
    x = 439,996.01/931.25
  6. Step 6: Final answer
    x = 472.48

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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.