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Finding the Fourth Proportional to 571.16, 788.28 and 423.56

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Solution

The fourth proportional to 571.16, 788.28 and 423.56 is: 584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.16 : 788.28 = 423.56 : x
  2. Step 2: Convert to fraction form
    571.16/788.28 = 423.56/x
  3. Step 3: Cross multiply
    571.16x = 788.28 × 423.56
  4. Step 4: Simplify right side
    571.16x = 333,883.88
  5. Step 5: Solve for x
    x = 333,883.88/571.16
  6. Step 6: Final answer
    x = 584.57

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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.