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Finding the Fourth Proportional to 931.15, 1,396.85 and 306.24

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Solution

The fourth proportional to 931.15, 1,396.85 and 306.24 is: 459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.15 : 1,396.85 = 306.24 : x
  2. Step 2: Convert to fraction form
    931.15/1,396.85 = 306.24/x
  3. Step 3: Cross multiply
    931.15x = 1,396.85 × 306.24
  4. Step 4: Simplify right side
    931.15x = 427,776.33
  5. Step 5: Solve for x
    x = 427,776.33/931.15
  6. Step 6: Final answer
    x = 459.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.