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Finding the Fourth Proportional to 603.71, 905.45 and 214.00

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Solution

The fourth proportional to 603.71, 905.45 and 214.00 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.71 : 905.45 = 214.00 : x
  2. Step 2: Convert to fraction form
    603.71/905.45 = 214.00/x
  3. Step 3: Cross multiply
    603.71x = 905.45 × 214.00
  4. Step 4: Simplify right side
    603.71x = 193,764.57
  5. Step 5: Solve for x
    x = 193,764.57/603.71
  6. Step 6: Final answer
    x = 320.96

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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.