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Finding the Fourth Proportional to 364.44, 503.16 and 281.40

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Solution

The fourth proportional to 364.44, 503.16 and 281.40 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.44 : 503.16 = 281.40 : x
  2. Step 2: Convert to fraction form
    364.44/503.16 = 281.40/x
  3. Step 3: Cross multiply
    364.44x = 503.16 × 281.40
  4. Step 4: Simplify right side
    364.44x = 141,589.22
  5. Step 5: Solve for x
    x = 141,589.22/364.44
  6. Step 6: Final answer
    x = 388.51

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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.