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Finding the Fourth Proportional to 947.01, 1,420.32 and 361.82

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Solution

The fourth proportional to 947.01, 1,420.32 and 361.82 is: 542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.01 : 1,420.32 = 361.82 : x
  2. Step 2: Convert to fraction form
    947.01/1,420.32 = 361.82/x
  3. Step 3: Cross multiply
    947.01x = 1,420.32 × 361.82
  4. Step 4: Simplify right side
    947.01x = 513,893.08
  5. Step 5: Solve for x
    x = 513,893.08/947.01
  6. Step 6: Final answer
    x = 542.65

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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.