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Finding the Fourth Proportional to 482.83, 724.43 and 362.11

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Solution

The fourth proportional to 482.83, 724.43 and 362.11 is: 543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.83 : 724.43 = 362.11 : x
  2. Step 2: Convert to fraction form
    482.83/724.43 = 362.11/x
  3. Step 3: Cross multiply
    482.83x = 724.43 × 362.11
  4. Step 4: Simplify right side
    482.83x = 262,323.35
  5. Step 5: Solve for x
    x = 262,323.35/482.83
  6. Step 6: Final answer
    x = 543.30

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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.