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Finding the Fourth Proportional to 482.26, 723.04 and 286.80

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Solution

The fourth proportional to 482.26, 723.04 and 286.80 is: 429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.26 : 723.04 = 286.80 : x
  2. Step 2: Convert to fraction form
    482.26/723.04 = 286.80/x
  3. Step 3: Cross multiply
    482.26x = 723.04 × 286.80
  4. Step 4: Simplify right side
    482.26x = 207,362.82
  5. Step 5: Solve for x
    x = 207,362.82/482.26
  6. Step 6: Final answer
    x = 429.98

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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.