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Finding the Fourth Proportional to 569.57, 852.80 and 295.08

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Solution

The fourth proportional to 569.57, 852.80 and 295.08 is: 441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.57 : 852.80 = 295.08 : x
  2. Step 2: Convert to fraction form
    569.57/852.80 = 295.08/x
  3. Step 3: Cross multiply
    569.57x = 852.80 × 295.08
  4. Step 4: Simplify right side
    569.57x = 251,639.55
  5. Step 5: Solve for x
    x = 251,639.55/569.57
  6. Step 6: Final answer
    x = 441.81

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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.