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Finding the Fourth Proportional to 603.40, 904.77 and 213.26

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Solution

The fourth proportional to 603.40, 904.77 and 213.26 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.40 : 904.77 = 213.26 : x
  2. Step 2: Convert to fraction form
    603.40/904.77 = 213.26/x
  3. Step 3: Cross multiply
    603.40x = 904.77 × 213.26
  4. Step 4: Simplify right side
    603.40x = 192,949.27
  5. Step 5: Solve for x
    x = 192,949.27/603.40
  6. Step 6: Final answer
    x = 319.77

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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.