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Finding the Fourth Proportional to 571.10, 788.18 and 414.23

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Solution

The fourth proportional to 571.10, 788.18 and 414.23 is: 571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.10 : 788.18 = 414.23 : x
  2. Step 2: Convert to fraction form
    571.10/788.18 = 414.23/x
  3. Step 3: Cross multiply
    571.10x = 788.18 × 414.23
  4. Step 4: Simplify right side
    571.10x = 326,481.79
  5. Step 5: Solve for x
    x = 326,481.79/571.10
  6. Step 6: Final answer
    x = 571.68

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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.