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Finding the Fourth Proportional to 662.90, 914.19 and 414.14

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Solution

The fourth proportional to 662.90, 914.19 and 414.14 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.90 : 914.19 = 414.14 : x
  2. Step 2: Convert to fraction form
    662.90/914.19 = 414.14/x
  3. Step 3: Cross multiply
    662.90x = 914.19 × 414.14
  4. Step 4: Simplify right side
    662.90x = 378,602.65
  5. Step 5: Solve for x
    x = 378,602.65/662.90
  6. Step 6: Final answer
    x = 571.13

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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.