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Finding the Fourth Proportional to 947.40, 1,421.10 and 362.27

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Solution

The fourth proportional to 947.40, 1,421.10 and 362.27 is: 543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.40 : 1,421.10 = 362.27 : x
  2. Step 2: Convert to fraction form
    947.40/1,421.10 = 362.27/x
  3. Step 3: Cross multiply
    947.40x = 1,421.10 × 362.27
  4. Step 4: Simplify right side
    947.40x = 514,821.90
  5. Step 5: Solve for x
    x = 514,821.90/947.40
  6. Step 6: Final answer
    x = 543.41

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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.