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Finding the Fourth Proportional to 662.84, 914.56 and 414.07

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Solution

The fourth proportional to 662.84, 914.56 and 414.07 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.84 : 914.56 = 414.07 : x
  2. Step 2: Convert to fraction form
    662.84/914.56 = 414.07/x
  3. Step 3: Cross multiply
    662.84x = 914.56 × 414.07
  4. Step 4: Simplify right side
    662.84x = 378,691.86
  5. Step 5: Solve for x
    x = 378,691.86/662.84
  6. Step 6: Final answer
    x = 571.32

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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.