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Finding the Fourth Proportional to 678.53, 936.37 and 368.03

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Solution

The fourth proportional to 678.53, 936.37 and 368.03 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.53 : 936.37 = 368.03 : x
  2. Step 2: Convert to fraction form
    678.53/936.37 = 368.03/x
  3. Step 3: Cross multiply
    678.53x = 936.37 × 368.03
  4. Step 4: Simplify right side
    678.53x = 344,612.25
  5. Step 5: Solve for x
    x = 344,612.25/678.53
  6. Step 6: Final answer
    x = 507.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.