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Finding the Fourth Proportional to 679.49, 937.64 and 384.70

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Solution

The fourth proportional to 679.49, 937.64 and 384.70 is: 530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.49 : 937.64 = 384.70 : x
  2. Step 2: Convert to fraction form
    679.49/937.64 = 384.70/x
  3. Step 3: Cross multiply
    679.49x = 937.64 × 384.70
  4. Step 4: Simplify right side
    679.49x = 360,708.73
  5. Step 5: Solve for x
    x = 360,708.73/679.49
  6. Step 6: Final answer
    x = 530.85

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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.