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Finding the Fourth Proportional to 610.90, 916.52 and 429.46

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Solution

The fourth proportional to 610.90, 916.52 and 429.46 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 916.52 = 429.46 : x
  2. Step 2: Convert to fraction form
    610.90/916.52 = 429.46/x
  3. Step 3: Cross multiply
    610.90x = 916.52 × 429.46
  4. Step 4: Simplify right side
    610.90x = 393,608.68
  5. Step 5: Solve for x
    x = 393,608.68/610.90
  6. Step 6: Final answer
    x = 644.31

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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.