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Finding the Fourth Proportional to 482.06, 723.86 and 277.55

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Solution

The fourth proportional to 482.06, 723.86 and 277.55 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 723.86 = 277.55 : x
  2. Step 2: Convert to fraction form
    482.06/723.86 = 277.55/x
  3. Step 3: Cross multiply
    482.06x = 723.86 × 277.55
  4. Step 4: Simplify right side
    482.06x = 200,904.42
  5. Step 5: Solve for x
    x = 200,904.42/482.06
  6. Step 6: Final answer
    x = 416.76

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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.