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Finding the Fourth Proportional to 608.04, 838.17 and 421.22

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Solution

The fourth proportional to 608.04, 838.17 and 421.22 is: 580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.04 : 838.17 = 421.22 : x
  2. Step 2: Convert to fraction form
    608.04/838.17 = 421.22/x
  3. Step 3: Cross multiply
    608.04x = 838.17 × 421.22
  4. Step 4: Simplify right side
    608.04x = 353,056.06
  5. Step 5: Solve for x
    x = 353,056.06/608.04
  6. Step 6: Final answer
    x = 580.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.