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Finding the Fourth Proportional to 571.32, 852.06 and 515.96

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Solution

The fourth proportional to 571.32, 852.06 and 515.96 is: 769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.32 : 852.06 = 515.96 : x
  2. Step 2: Convert to fraction form
    571.32/852.06 = 515.96/x
  3. Step 3: Cross multiply
    571.32x = 852.06 × 515.96
  4. Step 4: Simplify right side
    571.32x = 439,622.04
  5. Step 5: Solve for x
    x = 439,622.04/571.32
  6. Step 6: Final answer
    x = 769.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.