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Finding the Fourth Proportional to 947.69, 1,421.49 and 331.53

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Solution

The fourth proportional to 947.69, 1,421.49 and 331.53 is: 497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.69 : 1,421.49 = 331.53 : x
  2. Step 2: Convert to fraction form
    947.69/1,421.49 = 331.53/x
  3. Step 3: Cross multiply
    947.69x = 1,421.49 × 331.53
  4. Step 4: Simplify right side
    947.69x = 471,266.16
  5. Step 5: Solve for x
    x = 471,266.16/947.69
  6. Step 6: Final answer
    x = 497.28

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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.