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Finding the Fourth Proportional to 603.09, 903.49 and 506.23

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Solution

The fourth proportional to 603.09, 903.49 and 506.23 is: 758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.09 : 903.49 = 506.23 : x
  2. Step 2: Convert to fraction form
    603.09/903.49 = 506.23/x
  3. Step 3: Cross multiply
    603.09x = 903.49 × 506.23
  4. Step 4: Simplify right side
    603.09x = 457,370.22
  5. Step 5: Solve for x
    x = 457,370.22/603.09
  6. Step 6: Final answer
    x = 758.38

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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.