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Finding the Fourth Proportional to 569.78, 854.90 and 364.30

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Solution

The fourth proportional to 569.78, 854.90 and 364.30 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 854.90 = 364.30 : x
  2. Step 2: Convert to fraction form
    569.78/854.90 = 364.30/x
  3. Step 3: Cross multiply
    569.78x = 854.90 × 364.30
  4. Step 4: Simplify right side
    569.78x = 311,435.80
  5. Step 5: Solve for x
    x = 311,435.80/569.78
  6. Step 6: Final answer
    x = 546.59

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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.