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Finding the Fourth Proportional to 482.94, 724.26 and 277.47

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Solution

The fourth proportional to 482.94, 724.26 and 277.47 is: 416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.94 : 724.26 = 277.47 : x
  2. Step 2: Convert to fraction form
    482.94/724.26 = 277.47/x
  3. Step 3: Cross multiply
    482.94x = 724.26 × 277.47
  4. Step 4: Simplify right side
    482.94x = 200,960.42
  5. Step 5: Solve for x
    x = 200,960.42/482.94
  6. Step 6: Final answer
    x = 416.12

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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.