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Finding the Fourth Proportional to 482.14, 722.98 and 173.91

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Solution

The fourth proportional to 482.14, 722.98 and 173.91 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 722.98 = 173.91 : x
  2. Step 2: Convert to fraction form
    482.14/722.98 = 173.91/x
  3. Step 3: Cross multiply
    482.14x = 722.98 × 173.91
  4. Step 4: Simplify right side
    482.14x = 125,733.45
  5. Step 5: Solve for x
    x = 125,733.45/482.14
  6. Step 6: Final answer
    x = 260.78

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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.