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Finding the Fourth Proportional to 571.56, 788.34 and 405.60

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Solution

The fourth proportional to 571.56, 788.34 and 405.60 is: 559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.56 : 788.34 = 405.60 : x
  2. Step 2: Convert to fraction form
    571.56/788.34 = 405.60/x
  3. Step 3: Cross multiply
    571.56x = 788.34 × 405.60
  4. Step 4: Simplify right side
    571.56x = 319,750.70
  5. Step 5: Solve for x
    x = 319,750.70/571.56
  6. Step 6: Final answer
    x = 559.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.