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Finding the Fourth Proportional to 947.42, 1,421.21 and 289.44

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Solution

The fourth proportional to 947.42, 1,421.21 and 289.44 is: 434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.42 : 1,421.21 = 289.44 : x
  2. Step 2: Convert to fraction form
    947.42/1,421.21 = 289.44/x
  3. Step 3: Cross multiply
    947.42x = 1,421.21 × 289.44
  4. Step 4: Simplify right side
    947.42x = 411,355.71
  5. Step 5: Solve for x
    x = 411,355.71/947.42
  6. Step 6: Final answer
    x = 434.19

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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.