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Finding the Fourth Proportional to 660.64, 911.65 and 365.89

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Solution

The fourth proportional to 660.64, 911.65 and 365.89 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.64 : 911.65 = 365.89 : x
  2. Step 2: Convert to fraction form
    660.64/911.65 = 365.89/x
  3. Step 3: Cross multiply
    660.64x = 911.65 × 365.89
  4. Step 4: Simplify right side
    660.64x = 333,559.51
  5. Step 5: Solve for x
    x = 333,559.51/660.64
  6. Step 6: Final answer
    x = 504.91

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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.