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Finding the Fourth Proportional to 482.25, 723.63 and 263.03

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Solution

The fourth proportional to 482.25, 723.63 and 263.03 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 723.63 = 263.03 : x
  2. Step 2: Convert to fraction form
    482.25/723.63 = 263.03/x
  3. Step 3: Cross multiply
    482.25x = 723.63 × 263.03
  4. Step 4: Simplify right side
    482.25x = 190,337.55
  5. Step 5: Solve for x
    x = 190,337.55/482.25
  6. Step 6: Final answer
    x = 394.69

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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.