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Finding the Fourth Proportional to 603.22, 904.01 and 256.12

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Solution

The fourth proportional to 603.22, 904.01 and 256.12 is: 383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.22 : 904.01 = 256.12 : x
  2. Step 2: Convert to fraction form
    603.22/904.01 = 256.12/x
  3. Step 3: Cross multiply
    603.22x = 904.01 × 256.12
  4. Step 4: Simplify right side
    603.22x = 231,532.94
  5. Step 5: Solve for x
    x = 231,532.94/603.22
  6. Step 6: Final answer
    x = 383.83

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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.