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Finding the Fourth Proportional to 571.61, 857.82 and 441.93

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Solution

The fourth proportional to 571.61, 857.82 and 441.93 is: 663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.61 : 857.82 = 441.93 : x
  2. Step 2: Convert to fraction form
    571.61/857.82 = 441.93/x
  3. Step 3: Cross multiply
    571.61x = 857.82 × 441.93
  4. Step 4: Simplify right side
    571.61x = 379,096.39
  5. Step 5: Solve for x
    x = 379,096.39/571.61
  6. Step 6: Final answer
    x = 663.21

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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.