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Finding the Fourth Proportional to 370.27, 554.01 and 224.07

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Solution

The fourth proportional to 370.27, 554.01 and 224.07 is: 335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 554.01 = 224.07 : x
  2. Step 2: Convert to fraction form
    370.27/554.01 = 224.07/x
  3. Step 3: Cross multiply
    370.27x = 554.01 × 224.07
  4. Step 4: Simplify right side
    370.27x = 124,137.02
  5. Step 5: Solve for x
    x = 124,137.02/370.27
  6. Step 6: Final answer
    x = 335.26

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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.