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Finding the Fourth Proportional to 603.60, 905.73 and 256.86

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Solution

The fourth proportional to 603.60, 905.73 and 256.86 is: 385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.60 : 905.73 = 256.86 : x
  2. Step 2: Convert to fraction form
    603.60/905.73 = 256.86/x
  3. Step 3: Cross multiply
    603.60x = 905.73 × 256.86
  4. Step 4: Simplify right side
    603.60x = 232,645.81
  5. Step 5: Solve for x
    x = 232,645.81/603.60
  6. Step 6: Final answer
    x = 385.43

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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.