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Finding the Fourth Proportional to 603.26, 904.64 and 213.16

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Solution

The fourth proportional to 603.26, 904.64 and 213.16 is: 319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.26 : 904.64 = 213.16 : x
  2. Step 2: Convert to fraction form
    603.26/904.64 = 213.16/x
  3. Step 3: Cross multiply
    603.26x = 904.64 × 213.16
  4. Step 4: Simplify right side
    603.26x = 192,833.06
  5. Step 5: Solve for x
    x = 192,833.06/603.26
  6. Step 6: Final answer
    x = 319.65

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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.