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Finding the Fourth Proportional to 571.17, 788.28 and 431.76

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Solution

The fourth proportional to 571.17, 788.28 and 431.76 is: 595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.17 : 788.28 = 431.76 : x
  2. Step 2: Convert to fraction form
    571.17/788.28 = 431.76/x
  3. Step 3: Cross multiply
    571.17x = 788.28 × 431.76
  4. Step 4: Simplify right side
    571.17x = 340,347.77
  5. Step 5: Solve for x
    x = 340,347.77/571.17
  6. Step 6: Final answer
    x = 595.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.