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Finding the Fourth Proportional to 575.42, 793.75 and 354.21

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Solution

The fourth proportional to 575.42, 793.75 and 354.21 is: 488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 793.75 = 354.21 : x
  2. Step 2: Convert to fraction form
    575.42/793.75 = 354.21/x
  3. Step 3: Cross multiply
    575.42x = 793.75 × 354.21
  4. Step 4: Simplify right side
    575.42x = 281,155.29
  5. Step 5: Solve for x
    x = 281,155.29/575.42
  6. Step 6: Final answer
    x = 488.61

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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.