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Finding the Fourth Proportional to 492.42, 678.14 and 448.62

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Solution

The fourth proportional to 492.42, 678.14 and 448.62 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.42 : 678.14 = 448.62 : x
  2. Step 2: Convert to fraction form
    492.42/678.14 = 448.62/x
  3. Step 3: Cross multiply
    492.42x = 678.14 × 448.62
  4. Step 4: Simplify right side
    492.42x = 304,227.17
  5. Step 5: Solve for x
    x = 304,227.17/492.42
  6. Step 6: Final answer
    x = 617.82

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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.