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Finding the Fourth Proportional to 571.57, 788.76 and 309.58

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Solution

The fourth proportional to 571.57, 788.76 and 309.58 is: 427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.57 : 788.76 = 309.58 : x
  2. Step 2: Convert to fraction form
    571.57/788.76 = 309.58/x
  3. Step 3: Cross multiply
    571.57x = 788.76 × 309.58
  4. Step 4: Simplify right side
    571.57x = 244,186.47
  5. Step 5: Solve for x
    x = 244,186.47/571.57
  6. Step 6: Final answer
    x = 427.22

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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.