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Finding the Fourth Proportional to 930.14, 1,394.67 and 313.49

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Solution

The fourth proportional to 930.14, 1,394.67 and 313.49 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.14 : 1,394.67 = 313.49 : x
  2. Step 2: Convert to fraction form
    930.14/1,394.67 = 313.49/x
  3. Step 3: Cross multiply
    930.14x = 1,394.67 × 313.49
  4. Step 4: Simplify right side
    930.14x = 437,215.10
  5. Step 5: Solve for x
    x = 437,215.10/930.14
  6. Step 6: Final answer
    x = 470.05

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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.