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Finding the Fourth Proportional to 571.40, 855.22 and 433.69

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Solution

The fourth proportional to 571.40, 855.22 and 433.69 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.40 : 855.22 = 433.69 : x
  2. Step 2: Convert to fraction form
    571.40/855.22 = 433.69/x
  3. Step 3: Cross multiply
    571.40x = 855.22 × 433.69
  4. Step 4: Simplify right side
    571.40x = 370,900.36
  5. Step 5: Solve for x
    x = 370,900.36/571.40
  6. Step 6: Final answer
    x = 649.11

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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.