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Finding the Fourth Proportional to 930.88, 1,396.15 and 314.57

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Solution

The fourth proportional to 930.88, 1,396.15 and 314.57 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.88 : 1,396.15 = 314.57 : x
  2. Step 2: Convert to fraction form
    930.88/1,396.15 = 314.57/x
  3. Step 3: Cross multiply
    930.88x = 1,396.15 × 314.57
  4. Step 4: Simplify right side
    930.88x = 439,189.61
  5. Step 5: Solve for x
    x = 439,189.61/930.88
  6. Step 6: Final answer
    x = 471.80

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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.