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Finding the Fourth Proportional to 738.10, 1,107.23 and 276.10

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Solution

The fourth proportional to 738.10, 1,107.23 and 276.10 is: 414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.10 : 1,107.23 = 276.10 : x
  2. Step 2: Convert to fraction form
    738.10/1,107.23 = 276.10/x
  3. Step 3: Cross multiply
    738.10x = 1,107.23 × 276.10
  4. Step 4: Simplify right side
    738.10x = 305,706.20
  5. Step 5: Solve for x
    x = 305,706.20/738.10
  6. Step 6: Final answer
    x = 414.18

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Double scale
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Similar ratio
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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.