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Finding the Fourth Proportional to 569.79, 854.11 and 261.86

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Solution

The fourth proportional to 569.79, 854.11 and 261.86 is: 392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.79 : 854.11 = 261.86 : x
  2. Step 2: Convert to fraction form
    569.79/854.11 = 261.86/x
  3. Step 3: Cross multiply
    569.79x = 854.11 × 261.86
  4. Step 4: Simplify right side
    569.79x = 223,658.73
  5. Step 5: Solve for x
    x = 223,658.73/569.79
  6. Step 6: Final answer
    x = 392.53

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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.