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Finding the Fourth Proportional to 270.72, 403.62 and 263.76

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Solution

The fourth proportional to 270.72, 403.62 and 263.76 is: 393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.72 : 403.62 = 263.76 : x
  2. Step 2: Convert to fraction form
    270.72/403.62 = 263.76/x
  3. Step 3: Cross multiply
    270.72x = 403.62 × 263.76
  4. Step 4: Simplify right side
    270.72x = 106,458.81
  5. Step 5: Solve for x
    x = 106,458.81/270.72
  6. Step 6: Final answer
    x = 393.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.