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Finding the Fourth Proportional to 610.44, 914.87 and 533.04

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Solution

The fourth proportional to 610.44, 914.87 and 533.04 is: 798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.44 : 914.87 = 533.04 : x
  2. Step 2: Convert to fraction form
    610.44/914.87 = 533.04/x
  3. Step 3: Cross multiply
    610.44x = 914.87 × 533.04
  4. Step 4: Simplify right side
    610.44x = 487,662.30
  5. Step 5: Solve for x
    x = 487,662.30/610.44
  6. Step 6: Final answer
    x = 798.87

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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.