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Finding the Fourth Proportional to 678.56, 936.50 and 383.85

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Solution

The fourth proportional to 678.56, 936.50 and 383.85 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.56 : 936.50 = 383.85 : x
  2. Step 2: Convert to fraction form
    678.56/936.50 = 383.85/x
  3. Step 3: Cross multiply
    678.56x = 936.50 × 383.85
  4. Step 4: Simplify right side
    678.56x = 359,473.61
  5. Step 5: Solve for x
    x = 359,473.61/678.56
  6. Step 6: Final answer
    x = 529.76

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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.