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Finding the Fourth Proportional to 575.22, 793.80 and 313.23

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Solution

The fourth proportional to 575.22, 793.80 and 313.23 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.22 : 793.80 = 313.23 : x
  2. Step 2: Convert to fraction form
    575.22/793.80 = 313.23/x
  3. Step 3: Cross multiply
    575.22x = 793.80 × 313.23
  4. Step 4: Simplify right side
    575.22x = 248,641.97
  5. Step 5: Solve for x
    x = 248,641.97/575.22
  6. Step 6: Final answer
    x = 432.26

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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.