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Finding the Fourth Proportional to 921.44, 1,382.20 and 434.24

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Solution

The fourth proportional to 921.44, 1,382.20 and 434.24 is: 651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.44 : 1,382.20 = 434.24 : x
  2. Step 2: Convert to fraction form
    921.44/1,382.20 = 434.24/x
  3. Step 3: Cross multiply
    921.44x = 1,382.20 × 434.24
  4. Step 4: Simplify right side
    921.44x = 600,206.53
  5. Step 5: Solve for x
    x = 600,206.53/921.44
  6. Step 6: Final answer
    x = 651.38

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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.