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Finding the Fourth Proportional to 930.53, 1,394.81 and 314.02

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Solution

The fourth proportional to 930.53, 1,394.81 and 314.02 is: 470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.53 : 1,394.81 = 314.02 : x
  2. Step 2: Convert to fraction form
    930.53/1,394.81 = 314.02/x
  3. Step 3: Cross multiply
    930.53x = 1,394.81 × 314.02
  4. Step 4: Simplify right side
    930.53x = 437,995.53
  5. Step 5: Solve for x
    x = 437,995.53/930.53
  6. Step 6: Final answer
    x = 470.70

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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.