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Finding the Fourth Proportional to 482.29, 722.81 and 193.93

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Solution

The fourth proportional to 482.29, 722.81 and 193.93 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.29 : 722.81 = 193.93 : x
  2. Step 2: Convert to fraction form
    482.29/722.81 = 193.93/x
  3. Step 3: Cross multiply
    482.29x = 722.81 × 193.93
  4. Step 4: Simplify right side
    482.29x = 140,175.87
  5. Step 5: Solve for x
    x = 140,175.87/482.29
  6. Step 6: Final answer
    x = 290.64

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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.