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Finding the Fourth Proportional to 569.55, 852.83 and 395.70

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Solution

The fourth proportional to 569.55, 852.83 and 395.70 is: 592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.55 : 852.83 = 395.70 : x
  2. Step 2: Convert to fraction form
    569.55/852.83 = 395.70/x
  3. Step 3: Cross multiply
    569.55x = 852.83 × 395.70
  4. Step 4: Simplify right side
    569.55x = 337,464.83
  5. Step 5: Solve for x
    x = 337,464.83/569.55
  6. Step 6: Final answer
    x = 592.51

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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.