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Finding the Fourth Proportional to 678.80, 936.76 and 384.07

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Solution

The fourth proportional to 678.80, 936.76 and 384.07 is: 530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.80 : 936.76 = 384.07 : x
  2. Step 2: Convert to fraction form
    678.80/936.76 = 384.07/x
  3. Step 3: Cross multiply
    678.80x = 936.76 × 384.07
  4. Step 4: Simplify right side
    678.80x = 359,781.41
  5. Step 5: Solve for x
    x = 359,781.41/678.80
  6. Step 6: Final answer
    x = 530.03

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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.