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Finding the Fourth Proportional to 275.76, 377.46 and 275.76

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Solution

The fourth proportional to 275.76, 377.46 and 275.76 is: 377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.76 : 377.46 = 275.76 : x
  2. Step 2: Convert to fraction form
    275.76/377.46 = 275.76/x
  3. Step 3: Cross multiply
    275.76x = 377.46 × 275.76
  4. Step 4: Simplify right side
    275.76x = 104,088.37
  5. Step 5: Solve for x
    x = 104,088.37/275.76
  6. Step 6: Final answer
    x = 377.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.