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Finding the Fourth Proportional to 360.55, 538.21 and 335.23

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Solution

The fourth proportional to 360.55, 538.21 and 335.23 is: 500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.55 : 538.21 = 335.23 : x
  2. Step 2: Convert to fraction form
    360.55/538.21 = 335.23/x
  3. Step 3: Cross multiply
    360.55x = 538.21 × 335.23
  4. Step 4: Simplify right side
    360.55x = 180,424.14
  5. Step 5: Solve for x
    x = 180,424.14/360.55
  6. Step 6: Final answer
    x = 500.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.