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Finding the Fourth Proportional to 571.96, 852.32 and 537.33

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Solution

The fourth proportional to 571.96, 852.32 and 537.33 is: 800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.96 : 852.32 = 537.33 : x
  2. Step 2: Convert to fraction form
    571.96/852.32 = 537.33/x
  3. Step 3: Cross multiply
    571.96x = 852.32 × 537.33
  4. Step 4: Simplify right side
    571.96x = 457,981.65
  5. Step 5: Solve for x
    x = 457,981.65/571.96
  6. Step 6: Final answer
    x = 800.72

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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.