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Finding the Fourth Proportional to 938.10, 1,407.21 and 360.97

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Solution

The fourth proportional to 938.10, 1,407.21 and 360.97 is: 541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.10 : 1,407.21 = 360.97 : x
  2. Step 2: Convert to fraction form
    938.10/1,407.21 = 360.97/x
  3. Step 3: Cross multiply
    938.10x = 1,407.21 × 360.97
  4. Step 4: Simplify right side
    938.10x = 507,960.59
  5. Step 5: Solve for x
    x = 507,960.59/938.10
  6. Step 6: Final answer
    x = 541.48

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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.