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Finding the Fourth Proportional to 492.67, 678.74 and 405.19

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Solution

The fourth proportional to 492.67, 678.74 and 405.19 is: 558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.67 : 678.74 = 405.19 : x
  2. Step 2: Convert to fraction form
    492.67/678.74 = 405.19/x
  3. Step 3: Cross multiply
    492.67x = 678.74 × 405.19
  4. Step 4: Simplify right side
    492.67x = 275,018.66
  5. Step 5: Solve for x
    x = 275,018.66/492.67
  6. Step 6: Final answer
    x = 558.22

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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.