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Finding the Fourth Proportional to 575.44, 793.38 and 470.41

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Solution

The fourth proportional to 575.44, 793.38 and 470.41 is: 648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.44 : 793.38 = 470.41 : x
  2. Step 2: Convert to fraction form
    575.44/793.38 = 470.41/x
  3. Step 3: Cross multiply
    575.44x = 793.38 × 470.41
  4. Step 4: Simplify right side
    575.44x = 373,213.89
  5. Step 5: Solve for x
    x = 373,213.89/575.44
  6. Step 6: Final answer
    x = 648.57

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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.