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Finding the Fourth Proportional to 381.40, 526.28 and 224.02

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Solution

The fourth proportional to 381.40, 526.28 and 224.02 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.40 : 526.28 = 224.02 : x
  2. Step 2: Convert to fraction form
    381.40/526.28 = 224.02/x
  3. Step 3: Cross multiply
    381.40x = 526.28 × 224.02
  4. Step 4: Simplify right side
    381.40x = 117,897.25
  5. Step 5: Solve for x
    x = 117,897.25/381.40
  6. Step 6: Final answer
    x = 309.12

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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.