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Finding the Fourth Proportional to 575.60, 793.48 and 378.64

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Solution

The fourth proportional to 575.60, 793.48 and 378.64 is: 521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.60 : 793.48 = 378.64 : x
  2. Step 2: Convert to fraction form
    575.60/793.48 = 378.64/x
  3. Step 3: Cross multiply
    575.60x = 793.48 × 378.64
  4. Step 4: Simplify right side
    575.60x = 300,443.27
  5. Step 5: Solve for x
    x = 300,443.27/575.60
  6. Step 6: Final answer
    x = 521.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.