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Finding the Fourth Proportional to 930.45, 1,395.99 and 314.22

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Solution

The fourth proportional to 930.45, 1,395.99 and 314.22 is: 471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.45 : 1,395.99 = 314.22 : x
  2. Step 2: Convert to fraction form
    930.45/1,395.99 = 314.22/x
  3. Step 3: Cross multiply
    930.45x = 1,395.99 × 314.22
  4. Step 4: Simplify right side
    930.45x = 438,647.98
  5. Step 5: Solve for x
    x = 438,647.98/930.45
  6. Step 6: Final answer
    x = 471.44

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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.