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Finding the Fourth Proportional to 575.78, 793.44 and 538.74

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Solution

The fourth proportional to 575.78, 793.44 and 538.74 is: 742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.78 : 793.44 = 538.74 : x
  2. Step 2: Convert to fraction form
    575.78/793.44 = 538.74/x
  3. Step 3: Cross multiply
    575.78x = 793.44 × 538.74
  4. Step 4: Simplify right side
    575.78x = 427,457.87
  5. Step 5: Solve for x
    x = 427,457.87/575.78
  6. Step 6: Final answer
    x = 742.40

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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.