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Finding the Fourth Proportional to 365.60, 504.40 and 296.16

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Solution

The fourth proportional to 365.60, 504.40 and 296.16 is: 408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 504.40 = 296.16 : x
  2. Step 2: Convert to fraction form
    365.60/504.40 = 296.16/x
  3. Step 3: Cross multiply
    365.60x = 504.40 × 296.16
  4. Step 4: Simplify right side
    365.60x = 149,383.10
  5. Step 5: Solve for x
    x = 149,383.10/365.60
  6. Step 6: Final answer
    x = 408.60

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