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Finding the Fourth Proportional to 603.47, 905.06 and 256.86

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Solution

The fourth proportional to 603.47, 905.06 and 256.86 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.47 : 905.06 = 256.86 : x
  2. Step 2: Convert to fraction form
    603.47/905.06 = 256.86/x
  3. Step 3: Cross multiply
    603.47x = 905.06 × 256.86
  4. Step 4: Simplify right side
    603.47x = 232,472.43
  5. Step 5: Solve for x
    x = 232,472.43/603.47
  6. Step 6: Final answer
    x = 385.23

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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.