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Finding the Fourth Proportional to 678.88, 936.84 and 368.38

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Solution

The fourth proportional to 678.88, 936.84 and 368.38 is: 508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.88 : 936.84 = 368.38 : x
  2. Step 2: Convert to fraction form
    678.88/936.84 = 368.38/x
  3. Step 3: Cross multiply
    678.88x = 936.84 × 368.38
  4. Step 4: Simplify right side
    678.88x = 345,113.12
  5. Step 5: Solve for x
    x = 345,113.12/678.88
  6. Step 6: Final answer
    x = 508.36

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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.