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Finding the Fourth Proportional to 922.49, 1,383.83 and 337.56

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Solution

The fourth proportional to 922.49, 1,383.83 and 337.56 is: 506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.49 : 1,383.83 = 337.56 : x
  2. Step 2: Convert to fraction form
    922.49/1,383.83 = 337.56/x
  3. Step 3: Cross multiply
    922.49x = 1,383.83 × 337.56
  4. Step 4: Simplify right side
    922.49x = 467,125.65
  5. Step 5: Solve for x
    x = 467,125.65/922.49
  6. Step 6: Final answer
    x = 506.37

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1.5x scale

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.