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Finding the Fourth Proportional to 482.14, 723.81 and 410.44

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Solution

The fourth proportional to 482.14, 723.81 and 410.44 is: 616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 723.81 = 410.44 : x
  2. Step 2: Convert to fraction form
    482.14/723.81 = 410.44/x
  3. Step 3: Cross multiply
    482.14x = 723.81 × 410.44
  4. Step 4: Simplify right side
    482.14x = 297,080.58
  5. Step 5: Solve for x
    x = 297,080.58/482.14
  6. Step 6: Final answer
    x = 616.17

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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.