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Finding the Fourth Proportional to 365.36, 503.75 and 267.08

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Solution

The fourth proportional to 365.36, 503.75 and 267.08 is: 368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.36 : 503.75 = 267.08 : x
  2. Step 2: Convert to fraction form
    365.36/503.75 = 267.08/x
  3. Step 3: Cross multiply
    365.36x = 503.75 × 267.08
  4. Step 4: Simplify right side
    365.36x = 134,539.70
  5. Step 5: Solve for x
    x = 134,539.70/365.36
  6. Step 6: Final answer
    x = 368.24

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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.