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Finding the Fourth Proportional to 569.27, 784.76 and 382.70

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Solution

The fourth proportional to 569.27, 784.76 and 382.70 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.27 : 784.76 = 382.70 : x
  2. Step 2: Convert to fraction form
    569.27/784.76 = 382.70/x
  3. Step 3: Cross multiply
    569.27x = 784.76 × 382.70
  4. Step 4: Simplify right side
    569.27x = 300,321.81
  5. Step 5: Solve for x
    x = 300,321.81/569.27
  6. Step 6: Final answer
    x = 527.56

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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.