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Finding the Fourth Proportional to 558.89, 838.15 and 405.17

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Solution

The fourth proportional to 558.89, 838.15 and 405.17 is: 607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.89 : 838.15 = 405.17 : x
  2. Step 2: Convert to fraction form
    558.89/838.15 = 405.17/x
  3. Step 3: Cross multiply
    558.89x = 838.15 × 405.17
  4. Step 4: Simplify right side
    558.89x = 339,593.24
  5. Step 5: Solve for x
    x = 339,593.24/558.89
  6. Step 6: Final answer
    x = 607.62

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Why These Related Problems?

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