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Finding the Fourth Proportional to 603.11, 904.37 and 256.23

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Solution

The fourth proportional to 603.11, 904.37 and 256.23 is: 384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.11 : 904.37 = 256.23 : x
  2. Step 2: Convert to fraction form
    603.11/904.37 = 256.23/x
  3. Step 3: Cross multiply
    603.11x = 904.37 × 256.23
  4. Step 4: Simplify right side
    603.11x = 231,725.44
  5. Step 5: Solve for x
    x = 231,725.44/603.11
  6. Step 6: Final answer
    x = 384.22

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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.