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Finding the Fourth Proportional to 610.08, 914.58 and 466.44

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Solution

The fourth proportional to 610.08, 914.58 and 466.44 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.08 : 914.58 = 466.44 : x
  2. Step 2: Convert to fraction form
    610.08/914.58 = 466.44/x
  3. Step 3: Cross multiply
    610.08x = 914.58 × 466.44
  4. Step 4: Simplify right side
    610.08x = 426,596.70
  5. Step 5: Solve for x
    x = 426,596.70/610.08
  6. Step 6: Final answer
    x = 699.25

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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.