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Finding the Fourth Proportional to 662.64, 914.15 and 414.02

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Solution

The fourth proportional to 662.64, 914.15 and 414.02 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.64 : 914.15 = 414.02 : x
  2. Step 2: Convert to fraction form
    662.64/914.15 = 414.02/x
  3. Step 3: Cross multiply
    662.64x = 914.15 × 414.02
  4. Step 4: Simplify right side
    662.64x = 378,476.38
  5. Step 5: Solve for x
    x = 378,476.38/662.64
  6. Step 6: Final answer
    x = 571.16

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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.