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Finding the Fourth Proportional to 482.62, 723.13 and 405.62

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Solution

The fourth proportional to 482.62, 723.13 and 405.62 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.62 : 723.13 = 405.62 : x
  2. Step 2: Convert to fraction form
    482.62/723.13 = 405.62/x
  3. Step 3: Cross multiply
    482.62x = 723.13 × 405.62
  4. Step 4: Simplify right side
    482.62x = 293,310.35
  5. Step 5: Solve for x
    x = 293,310.35/482.62
  6. Step 6: Final answer
    x = 607.75

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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.