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Finding the Fourth Proportional to 575.89, 796.79 and 502.36

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Solution

The fourth proportional to 575.89, 796.79 and 502.36 is: 695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.89 : 796.79 = 502.36 : x
  2. Step 2: Convert to fraction form
    575.89/796.79 = 502.36/x
  3. Step 3: Cross multiply
    575.89x = 796.79 × 502.36
  4. Step 4: Simplify right side
    575.89x = 400,274.69
  5. Step 5: Solve for x
    x = 400,274.69/575.89
  6. Step 6: Final answer
    x = 695.06

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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.