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Finding the Fourth Proportional to 569.82, 856.14 and 364.47

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Solution

The fourth proportional to 569.82, 856.14 and 364.47 is: 547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.82 : 856.14 = 364.47 : x
  2. Step 2: Convert to fraction form
    569.82/856.14 = 364.47/x
  3. Step 3: Cross multiply
    569.82x = 856.14 × 364.47
  4. Step 4: Simplify right side
    569.82x = 312,037.35
  5. Step 5: Solve for x
    x = 312,037.35/569.82
  6. Step 6: Final answer
    x = 547.61

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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.