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Finding the Fourth Proportional to 669.09, 1,004.16 and 376.52

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Solution

The fourth proportional to 669.09, 1,004.16 and 376.52 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.09 : 1,004.16 = 376.52 : x
  2. Step 2: Convert to fraction form
    669.09/1,004.16 = 376.52/x
  3. Step 3: Cross multiply
    669.09x = 1,004.16 × 376.52
  4. Step 4: Simplify right side
    669.09x = 378,086.32
  5. Step 5: Solve for x
    x = 378,086.32/669.09
  6. Step 6: Final answer
    x = 565.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.