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Finding the Fourth Proportional to 971.05, 1,456.22 and 423.10

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Solution

The fourth proportional to 971.05, 1,456.22 and 423.10 is: 634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.05 : 1,456.22 = 423.10 : x
  2. Step 2: Convert to fraction form
    971.05/1,456.22 = 423.10/x
  3. Step 3: Cross multiply
    971.05x = 1,456.22 × 423.10
  4. Step 4: Simplify right side
    971.05x = 616,117.29
  5. Step 5: Solve for x
    x = 616,117.29/971.05
  6. Step 6: Final answer
    x = 634.49

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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.