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Finding the Fourth Proportional to 567.27, 782.19 and 409.86

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Solution

The fourth proportional to 567.27, 782.19 and 409.86 is: 565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.27 : 782.19 = 409.86 : x
  2. Step 2: Convert to fraction form
    567.27/782.19 = 409.86/x
  3. Step 3: Cross multiply
    567.27x = 782.19 × 409.86
  4. Step 4: Simplify right side
    567.27x = 320,588.39
  5. Step 5: Solve for x
    x = 320,588.39/567.27
  6. Step 6: Final answer
    x = 565.14

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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.