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Finding the Fourth Proportional to 678.95, 937.34 and 492.24

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Solution

The fourth proportional to 678.95, 937.34 and 492.24 is: 679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.95 : 937.34 = 492.24 : x
  2. Step 2: Convert to fraction form
    678.95/937.34 = 492.24/x
  3. Step 3: Cross multiply
    678.95x = 937.34 × 492.24
  4. Step 4: Simplify right side
    678.95x = 461,396.24
  5. Step 5: Solve for x
    x = 461,396.24/678.95
  6. Step 6: Final answer
    x = 679.57

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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.