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Finding the Fourth Proportional to 678.75, 936.72 and 384.06

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Solution

The fourth proportional to 678.75, 936.72 and 384.06 is: 530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 936.72 = 384.06 : x
  2. Step 2: Convert to fraction form
    678.75/936.72 = 384.06/x
  3. Step 3: Cross multiply
    678.75x = 936.72 × 384.06
  4. Step 4: Simplify right side
    678.75x = 359,756.68
  5. Step 5: Solve for x
    x = 359,756.68/678.75
  6. Step 6: Final answer
    x = 530.03

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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.