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Finding the Fourth Proportional to 662.66, 914.93 and 414.10

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Solution

The fourth proportional to 662.66, 914.93 and 414.10 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.66 : 914.93 = 414.10 : x
  2. Step 2: Convert to fraction form
    662.66/914.93 = 414.10/x
  3. Step 3: Cross multiply
    662.66x = 914.93 × 414.10
  4. Step 4: Simplify right side
    662.66x = 378,870.44
  5. Step 5: Solve for x
    x = 378,870.44/662.66
  6. Step 6: Final answer
    x = 571.74

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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.