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Finding the Fourth Proportional to 569.05, 852.61 and 276.69

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Solution

The fourth proportional to 569.05, 852.61 and 276.69 is: 414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.05 : 852.61 = 276.69 : x
  2. Step 2: Convert to fraction form
    569.05/852.61 = 276.69/x
  3. Step 3: Cross multiply
    569.05x = 852.61 × 276.69
  4. Step 4: Simplify right side
    569.05x = 235,908.66
  5. Step 5: Solve for x
    x = 235,908.66/569.05
  6. Step 6: Final answer
    x = 414.57

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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.