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Finding the Fourth Proportional to 903.55, 1,355.33 and 254.27

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Solution

The fourth proportional to 903.55, 1,355.33 and 254.27 is: 381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.55 : 1,355.33 = 254.27 : x
  2. Step 2: Convert to fraction form
    903.55/1,355.33 = 254.27/x
  3. Step 3: Cross multiply
    903.55x = 1,355.33 × 254.27
  4. Step 4: Simplify right side
    903.55x = 344,613.62
  5. Step 5: Solve for x
    x = 344,613.62/903.55
  6. Step 6: Final answer
    x = 381.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.