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Finding the Fourth Proportional to 482.77, 723.56 and 274.52

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Solution

The fourth proportional to 482.77, 723.56 and 274.52 is: 411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.77 : 723.56 = 274.52 : x
  2. Step 2: Convert to fraction form
    482.77/723.56 = 274.52/x
  3. Step 3: Cross multiply
    482.77x = 723.56 × 274.52
  4. Step 4: Simplify right side
    482.77x = 198,631.69
  5. Step 5: Solve for x
    x = 198,631.69/482.77
  6. Step 6: Final answer
    x = 411.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.