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Finding the Fourth Proportional to 575.33, 793.13 and 354.13

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Solution

The fourth proportional to 575.33, 793.13 and 354.13 is: 488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.33 : 793.13 = 354.13 : x
  2. Step 2: Convert to fraction form
    575.33/793.13 = 354.13/x
  3. Step 3: Cross multiply
    575.33x = 793.13 × 354.13
  4. Step 4: Simplify right side
    575.33x = 280,867.37
  5. Step 5: Solve for x
    x = 280,867.37/575.33
  6. Step 6: Final answer
    x = 488.19

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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.