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Finding the Fourth Proportional to 930.04, 1,394.83 and 313.73

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Solution

The fourth proportional to 930.04, 1,394.83 and 313.73 is: 470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.04 : 1,394.83 = 313.73 : x
  2. Step 2: Convert to fraction form
    930.04/1,394.83 = 313.73/x
  3. Step 3: Cross multiply
    930.04x = 1,394.83 × 313.73
  4. Step 4: Simplify right side
    930.04x = 437,600.02
  5. Step 5: Solve for x
    x = 437,600.02/930.04
  6. Step 6: Final answer
    x = 470.52

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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.