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Finding the Fourth Proportional to 971.29, 1,456.34 and 416.36

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Solution

The fourth proportional to 971.29, 1,456.34 and 416.36 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.29 : 1,456.34 = 416.36 : x
  2. Step 2: Convert to fraction form
    971.29/1,456.34 = 416.36/x
  3. Step 3: Cross multiply
    971.29x = 1,456.34 × 416.36
  4. Step 4: Simplify right side
    971.29x = 606,368.35
  5. Step 5: Solve for x
    x = 606,368.35/971.29
  6. Step 6: Final answer
    x = 624.29

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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.