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Finding the Fourth Proportional to 662.75, 914.59 and 410.61

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Solution

The fourth proportional to 662.75, 914.59 and 410.61 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.75 : 914.59 = 410.61 : x
  2. Step 2: Convert to fraction form
    662.75/914.59 = 410.61/x
  3. Step 3: Cross multiply
    662.75x = 914.59 × 410.61
  4. Step 4: Simplify right side
    662.75x = 375,539.80
  5. Step 5: Solve for x
    x = 375,539.80/662.75
  6. Step 6: Final answer
    x = 566.64

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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.