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Finding the Fourth Proportional to 482.86, 722.47 and 287.14

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Solution

The fourth proportional to 482.86, 722.47 and 287.14 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.86 : 722.47 = 287.14 : x
  2. Step 2: Convert to fraction form
    482.86/722.47 = 287.14/x
  3. Step 3: Cross multiply
    482.86x = 722.47 × 287.14
  4. Step 4: Simplify right side
    482.86x = 207,450.04
  5. Step 5: Solve for x
    x = 207,450.04/482.86
  6. Step 6: Final answer
    x = 429.63

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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.