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Finding the Fourth Proportional to 571.61, 788.85 and 431.48

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Solution

The fourth proportional to 571.61, 788.85 and 431.48 is: 595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.61 : 788.85 = 431.48 : x
  2. Step 2: Convert to fraction form
    571.61/788.85 = 431.48/x
  3. Step 3: Cross multiply
    571.61x = 788.85 × 431.48
  4. Step 4: Simplify right side
    571.61x = 340,374.97
  5. Step 5: Solve for x
    x = 340,374.97/571.61
  6. Step 6: Final answer
    x = 595.46

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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.