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Finding the Fourth Proportional to 660.63, 911.64 and 365.90

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Solution

The fourth proportional to 660.63, 911.64 and 365.90 is: 504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.63 : 911.64 = 365.90 : x
  2. Step 2: Convert to fraction form
    660.63/911.64 = 365.90/x
  3. Step 3: Cross multiply
    660.63x = 911.64 × 365.90
  4. Step 4: Simplify right side
    660.63x = 333,569.08
  5. Step 5: Solve for x
    x = 333,569.08/660.63
  6. Step 6: Final answer
    x = 504.93

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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.