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Finding the Fourth Proportional to 569.69, 785.92 and 327.02

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Solution

The fourth proportional to 569.69, 785.92 and 327.02 is: 451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.69 : 785.92 = 327.02 : x
  2. Step 2: Convert to fraction form
    569.69/785.92 = 327.02/x
  3. Step 3: Cross multiply
    569.69x = 785.92 × 327.02
  4. Step 4: Simplify right side
    569.69x = 257,011.56
  5. Step 5: Solve for x
    x = 257,011.56/569.69
  6. Step 6: Final answer
    x = 451.15

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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.