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Finding the Fourth Proportional to 603.16, 904.86 and 213.16

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Solution

The fourth proportional to 603.16, 904.86 and 213.16 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.16 : 904.86 = 213.16 : x
  2. Step 2: Convert to fraction form
    603.16/904.86 = 213.16/x
  3. Step 3: Cross multiply
    603.16x = 904.86 × 213.16
  4. Step 4: Simplify right side
    603.16x = 192,879.96
  5. Step 5: Solve for x
    x = 192,879.96/603.16
  6. Step 6: Final answer
    x = 319.78

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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.