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Finding the Fourth Proportional to 575.50, 793.46 and 427.88

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Solution

The fourth proportional to 575.50, 793.46 and 427.88 is: 589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.50 : 793.46 = 427.88 : x
  2. Step 2: Convert to fraction form
    575.50/793.46 = 427.88/x
  3. Step 3: Cross multiply
    575.50x = 793.46 × 427.88
  4. Step 4: Simplify right side
    575.50x = 339,505.66
  5. Step 5: Solve for x
    x = 339,505.66/575.50
  6. Step 6: Final answer
    x = 589.93

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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.