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Finding the Fourth Proportional to 386.34, 533.08 and 268.14

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Solution

The fourth proportional to 386.34, 533.08 and 268.14 is: 369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.34 : 533.08 = 268.14 : x
  2. Step 2: Convert to fraction form
    386.34/533.08 = 268.14/x
  3. Step 3: Cross multiply
    386.34x = 533.08 × 268.14
  4. Step 4: Simplify right side
    386.34x = 142,937.91
  5. Step 5: Solve for x
    x = 142,937.91/386.34
  6. Step 6: Final answer
    x = 369.98

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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.