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Finding the Fourth Proportional to 482.03, 722.36 and 193.13

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Solution

The fourth proportional to 482.03, 722.36 and 193.13 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.03 : 722.36 = 193.13 : x
  2. Step 2: Convert to fraction form
    482.03/722.36 = 193.13/x
  3. Step 3: Cross multiply
    482.03x = 722.36 × 193.13
  4. Step 4: Simplify right side
    482.03x = 139,504.81
  5. Step 5: Solve for x
    x = 139,504.81/482.03
  6. Step 6: Final answer
    x = 289.41

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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.