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Finding the Fourth Proportional to 660.87, 911.93 and 366.13

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Solution

The fourth proportional to 660.87, 911.93 and 366.13 is: 505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.87 : 911.93 = 366.13 : x
  2. Step 2: Convert to fraction form
    660.87/911.93 = 366.13/x
  3. Step 3: Cross multiply
    660.87x = 911.93 × 366.13
  4. Step 4: Simplify right side
    660.87x = 333,885.16
  5. Step 5: Solve for x
    x = 333,885.16/660.87
  6. Step 6: Final answer
    x = 505.22

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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.