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Finding the Fourth Proportional to 922.20, 1,383.40 and 297.52

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Solution

The fourth proportional to 922.20, 1,383.40 and 297.52 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.20 : 1,383.40 = 297.52 : x
  2. Step 2: Convert to fraction form
    922.20/1,383.40 = 297.52/x
  3. Step 3: Cross multiply
    922.20x = 1,383.40 × 297.52
  4. Step 4: Simplify right side
    922.20x = 411,589.17
  5. Step 5: Solve for x
    x = 411,589.17/922.20
  6. Step 6: Final answer
    x = 446.31

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Double scale
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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.