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Finding the Fourth Proportional to 515.04, 708.94 and 431.22

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Solution

The fourth proportional to 515.04, 708.94 and 431.22 is: 593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.04 : 708.94 = 431.22 : x
  2. Step 2: Convert to fraction form
    515.04/708.94 = 431.22/x
  3. Step 3: Cross multiply
    515.04x = 708.94 × 431.22
  4. Step 4: Simplify right side
    515.04x = 305,709.11
  5. Step 5: Solve for x
    x = 305,709.11/515.04
  6. Step 6: Final answer
    x = 593.56

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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.