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Finding the Fourth Proportional to 447.54, 674.35 and 368.16

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Solution

The fourth proportional to 447.54, 674.35 and 368.16 is: 554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.54 : 674.35 = 368.16 : x
  2. Step 2: Convert to fraction form
    447.54/674.35 = 368.16/x
  3. Step 3: Cross multiply
    447.54x = 674.35 × 368.16
  4. Step 4: Simplify right side
    447.54x = 248,268.70
  5. Step 5: Solve for x
    x = 248,268.70/447.54
  6. Step 6: Final answer
    x = 554.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.