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Finding the Fourth Proportional to 575.22, 793.62 and 342.24

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Solution

The fourth proportional to 575.22, 793.62 and 342.24 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.22 : 793.62 = 342.24 : x
  2. Step 2: Convert to fraction form
    575.22/793.62 = 342.24/x
  3. Step 3: Cross multiply
    575.22x = 793.62 × 342.24
  4. Step 4: Simplify right side
    575.22x = 271,608.51
  5. Step 5: Solve for x
    x = 271,608.51/575.22
  6. Step 6: Final answer
    x = 472.18

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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.