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Finding the Fourth Proportional to 663.78, 916.34 and 415.23

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Solution

The fourth proportional to 663.78, 916.34 and 415.23 is: 573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.78 : 916.34 = 415.23 : x
  2. Step 2: Convert to fraction form
    663.78/916.34 = 415.23/x
  3. Step 3: Cross multiply
    663.78x = 916.34 × 415.23
  4. Step 4: Simplify right side
    663.78x = 380,489.78
  5. Step 5: Solve for x
    x = 380,489.78/663.78
  6. Step 6: Final answer
    x = 573.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.