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Finding the Fourth Proportional to 938.05, 1,407.25 and 360.88

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Solution

The fourth proportional to 938.05, 1,407.25 and 360.88 is: 541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.05 : 1,407.25 = 360.88 : x
  2. Step 2: Convert to fraction form
    938.05/1,407.25 = 360.88/x
  3. Step 3: Cross multiply
    938.05x = 1,407.25 × 360.88
  4. Step 4: Simplify right side
    938.05x = 507,848.38
  5. Step 5: Solve for x
    x = 507,848.38/938.05
  6. Step 6: Final answer
    x = 541.39

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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.