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Finding the Fourth Proportional to 569.64, 854.10 and 295.86

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Solution

The fourth proportional to 569.64, 854.10 and 295.86 is: 443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.64 : 854.10 = 295.86 : x
  2. Step 2: Convert to fraction form
    569.64/854.10 = 295.86/x
  3. Step 3: Cross multiply
    569.64x = 854.10 × 295.86
  4. Step 4: Simplify right side
    569.64x = 252,694.03
  5. Step 5: Solve for x
    x = 252,694.03/569.64
  6. Step 6: Final answer
    x = 443.60

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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.