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Finding the Fourth Proportional to 678.74, 936.70 and 380.01

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Solution

The fourth proportional to 678.74, 936.70 and 380.01 is: 524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.74 : 936.70 = 380.01 : x
  2. Step 2: Convert to fraction form
    678.74/936.70 = 380.01/x
  3. Step 3: Cross multiply
    678.74x = 936.70 × 380.01
  4. Step 4: Simplify right side
    678.74x = 355,955.37
  5. Step 5: Solve for x
    x = 355,955.37/678.74
  6. Step 6: Final answer
    x = 524.44

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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.