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Finding the Fourth Proportional to 365.48, 504.64 and 255.07

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Solution

The fourth proportional to 365.48, 504.64 and 255.07 is: 352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.48 : 504.64 = 255.07 : x
  2. Step 2: Convert to fraction form
    365.48/504.64 = 255.07/x
  3. Step 3: Cross multiply
    365.48x = 504.64 × 255.07
  4. Step 4: Simplify right side
    365.48x = 128,718.52
  5. Step 5: Solve for x
    x = 128,718.52/365.48
  6. Step 6: Final answer
    x = 352.19

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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.