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Finding the Fourth Proportional to 384.14, 529.62 and 279.38

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Solution

The fourth proportional to 384.14, 529.62 and 279.38 is: 385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 529.62 = 279.38 : x
  2. Step 2: Convert to fraction form
    384.14/529.62 = 279.38/x
  3. Step 3: Cross multiply
    384.14x = 529.62 × 279.38
  4. Step 4: Simplify right side
    384.14x = 147,965.24
  5. Step 5: Solve for x
    x = 147,965.24/384.14
  6. Step 6: Final answer
    x = 385.19

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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.