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Finding the Fourth Proportional to 365.06, 504.02 and 282.02

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Solution

The fourth proportional to 365.06, 504.02 and 282.02 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 504.02 = 282.02 : x
  2. Step 2: Convert to fraction form
    365.06/504.02 = 282.02/x
  3. Step 3: Cross multiply
    365.06x = 504.02 × 282.02
  4. Step 4: Simplify right side
    365.06x = 142,143.72
  5. Step 5: Solve for x
    x = 142,143.72/365.06
  6. Step 6: Final answer
    x = 389.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.