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Finding the Fourth Proportional to 386.76, 533.28 and 262.50

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Solution

The fourth proportional to 386.76, 533.28 and 262.50 is: 361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 533.28 = 262.50 : x
  2. Step 2: Convert to fraction form
    386.76/533.28 = 262.50/x
  3. Step 3: Cross multiply
    386.76x = 533.28 × 262.50
  4. Step 4: Simplify right side
    386.76x = 139,983.02
  5. Step 5: Solve for x
    x = 139,983.02/386.76
  6. Step 6: Final answer
    x = 361.94

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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.