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Finding the Fourth Proportional to 678.86, 936.83 and 384.13

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Solution

The fourth proportional to 678.86, 936.83 and 384.13 is: 530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.86 : 936.83 = 384.13 : x
  2. Step 2: Convert to fraction form
    678.86/936.83 = 384.13/x
  3. Step 3: Cross multiply
    678.86x = 936.83 × 384.13
  4. Step 4: Simplify right side
    678.86x = 359,864.51
  5. Step 5: Solve for x
    x = 359,864.51/678.86
  6. Step 6: Final answer
    x = 530.10

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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.