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Finding the Fourth Proportional to 579.42, 867.85 and 290.25

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Solution

The fourth proportional to 579.42, 867.85 and 290.25 is: 434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.42 : 867.85 = 290.25 : x
  2. Step 2: Convert to fraction form
    579.42/867.85 = 290.25/x
  3. Step 3: Cross multiply
    579.42x = 867.85 × 290.25
  4. Step 4: Simplify right side
    579.42x = 251,892.74
  5. Step 5: Solve for x
    x = 251,892.74/579.42
  6. Step 6: Final answer
    x = 434.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.