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Finding the Fourth Proportional to 569.20, 854.02 and 295.12

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Solution

The fourth proportional to 569.20, 854.02 and 295.12 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.20 : 854.02 = 295.12 : x
  2. Step 2: Convert to fraction form
    569.20/854.02 = 295.12/x
  3. Step 3: Cross multiply
    569.20x = 854.02 × 295.12
  4. Step 4: Simplify right side
    569.20x = 252,038.38
  5. Step 5: Solve for x
    x = 252,038.38/569.20
  6. Step 6: Final answer
    x = 442.79

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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.