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Finding the Fourth Proportional to 571.54, 857.36 and 259.39

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Solution

The fourth proportional to 571.54, 857.36 and 259.39 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.54 : 857.36 = 259.39 : x
  2. Step 2: Convert to fraction form
    571.54/857.36 = 259.39/x
  3. Step 3: Cross multiply
    571.54x = 857.36 × 259.39
  4. Step 4: Simplify right side
    571.54x = 222,390.61
  5. Step 5: Solve for x
    x = 222,390.61/571.54
  6. Step 6: Final answer
    x = 389.11

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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.