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Finding the Fourth Proportional to 575.44, 794.11 and 313.46

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Solution

The fourth proportional to 575.44, 794.11 and 313.46 is: 432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.44 : 794.11 = 313.46 : x
  2. Step 2: Convert to fraction form
    575.44/794.11 = 313.46/x
  3. Step 3: Cross multiply
    575.44x = 794.11 × 313.46
  4. Step 4: Simplify right side
    575.44x = 248,922.92
  5. Step 5: Solve for x
    x = 248,922.92/575.44
  6. Step 6: Final answer
    x = 432.58

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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.