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Finding the Fourth Proportional to 603.72, 905.72 and 192.86

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Solution

The fourth proportional to 603.72, 905.72 and 192.86 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.72 : 905.72 = 192.86 : x
  2. Step 2: Convert to fraction form
    603.72/905.72 = 192.86/x
  3. Step 3: Cross multiply
    603.72x = 905.72 × 192.86
  4. Step 4: Simplify right side
    603.72x = 174,674.45
  5. Step 5: Solve for x
    x = 174,674.45/603.72
  6. Step 6: Final answer
    x = 289.33

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1.5x scale

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.