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Finding the Fourth Proportional to 947.08, 1,420.56 and 361.84

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Solution

The fourth proportional to 947.08, 1,420.56 and 361.84 is: 542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.08 : 1,420.56 = 361.84 : x
  2. Step 2: Convert to fraction form
    947.08/1,420.56 = 361.84/x
  3. Step 3: Cross multiply
    947.08x = 1,420.56 × 361.84
  4. Step 4: Simplify right side
    947.08x = 514,015.43
  5. Step 5: Solve for x
    x = 514,015.43/947.08
  6. Step 6: Final answer
    x = 542.74

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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.