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Finding the Fourth Proportional to 575.15, 793.23 and 354.02

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Solution

The fourth proportional to 575.15, 793.23 and 354.02 is: 488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.15 : 793.23 = 354.02 : x
  2. Step 2: Convert to fraction form
    575.15/793.23 = 354.02/x
  3. Step 3: Cross multiply
    575.15x = 793.23 × 354.02
  4. Step 4: Simplify right side
    575.15x = 280,819.28
  5. Step 5: Solve for x
    x = 280,819.28/575.15
  6. Step 6: Final answer
    x = 488.25

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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.