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Finding the Fourth Proportional to 569.39, 855.71 and 338.34

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Solution

The fourth proportional to 569.39, 855.71 and 338.34 is: 508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 855.71 = 338.34 : x
  2. Step 2: Convert to fraction form
    569.39/855.71 = 338.34/x
  3. Step 3: Cross multiply
    569.39x = 855.71 × 338.34
  4. Step 4: Simplify right side
    569.39x = 289,519.23
  5. Step 5: Solve for x
    x = 289,519.23/569.39
  6. Step 6: Final answer
    x = 508.47

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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.