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Finding the Fourth Proportional to 947.47, 1,421.36 and 322.82

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Solution

The fourth proportional to 947.47, 1,421.36 and 322.82 is: 484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.47 : 1,421.36 = 322.82 : x
  2. Step 2: Convert to fraction form
    947.47/1,421.36 = 322.82/x
  3. Step 3: Cross multiply
    947.47x = 1,421.36 × 322.82
  4. Step 4: Simplify right side
    947.47x = 458,845.25
  5. Step 5: Solve for x
    x = 458,845.25/947.47
  6. Step 6: Final answer
    x = 484.29

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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.