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Finding the Fourth Proportional to 262.52, 362.52 and 260.72

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Solution

The fourth proportional to 262.52, 362.52 and 260.72 is: 360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 362.52 = 260.72 : x
  2. Step 2: Convert to fraction form
    262.52/362.52 = 260.72/x
  3. Step 3: Cross multiply
    262.52x = 362.52 × 260.72
  4. Step 4: Simplify right side
    262.52x = 94,516.21
  5. Step 5: Solve for x
    x = 94,516.21/262.52
  6. Step 6: Final answer
    x = 360.03

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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.