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Finding the Fourth Proportional to 569.77, 854.17 and 179.53

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Solution

The fourth proportional to 569.77, 854.17 and 179.53 is: 269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 854.17 = 179.53 : x
  2. Step 2: Convert to fraction form
    569.77/854.17 = 179.53/x
  3. Step 3: Cross multiply
    569.77x = 854.17 × 179.53
  4. Step 4: Simplify right side
    569.77x = 153,346.56
  5. Step 5: Solve for x
    x = 153,346.56/569.77
  6. Step 6: Final answer
    x = 269.14

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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.