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Finding the Fourth Proportional to 569.72, 854.34 and 261.56

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Solution

The fourth proportional to 569.72, 854.34 and 261.56 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.72 : 854.34 = 261.56 : x
  2. Step 2: Convert to fraction form
    569.72/854.34 = 261.56/x
  3. Step 3: Cross multiply
    569.72x = 854.34 × 261.56
  4. Step 4: Simplify right side
    569.72x = 223,461.17
  5. Step 5: Solve for x
    x = 223,461.17/569.72
  6. Step 6: Final answer
    x = 392.23

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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.