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Finding the Fourth Proportional to 387.04, 533.92 and 262.72

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Solution

The fourth proportional to 387.04, 533.92 and 262.72 is: 362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.04 : 533.92 = 262.72 : x
  2. Step 2: Convert to fraction form
    387.04/533.92 = 262.72/x
  3. Step 3: Cross multiply
    387.04x = 533.92 × 262.72
  4. Step 4: Simplify right side
    387.04x = 140,271.46
  5. Step 5: Solve for x
    x = 140,271.46/387.04
  6. Step 6: Final answer
    x = 362.42

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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.