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Finding the Fourth Proportional to 609.30, 840.74 and 357.17

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Solution

The fourth proportional to 609.30, 840.74 and 357.17 is: 492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.30 : 840.74 = 357.17 : x
  2. Step 2: Convert to fraction form
    609.30/840.74 = 357.17/x
  3. Step 3: Cross multiply
    609.30x = 840.74 × 357.17
  4. Step 4: Simplify right side
    609.30x = 300,281.12
  5. Step 5: Solve for x
    x = 300,281.12/609.30
  6. Step 6: Final answer
    x = 492.83

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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.