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Finding the Fourth Proportional to 571.54, 788.78 and 412.15

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Solution

The fourth proportional to 571.54, 788.78 and 412.15 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.54 : 788.78 = 412.15 : x
  2. Step 2: Convert to fraction form
    571.54/788.78 = 412.15/x
  3. Step 3: Cross multiply
    571.54x = 788.78 × 412.15
  4. Step 4: Simplify right side
    571.54x = 325,097.63
  5. Step 5: Solve for x
    x = 325,097.63/571.54
  6. Step 6: Final answer
    x = 568.81

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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.