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Finding the Fourth Proportional to 608.89, 840.23 and 343.35

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Solution

The fourth proportional to 608.89, 840.23 and 343.35 is: 473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.89 : 840.23 = 343.35 : x
  2. Step 2: Convert to fraction form
    608.89/840.23 = 343.35/x
  3. Step 3: Cross multiply
    608.89x = 840.23 × 343.35
  4. Step 4: Simplify right side
    608.89x = 288,492.97
  5. Step 5: Solve for x
    x = 288,492.97/608.89
  6. Step 6: Final answer
    x = 473.81

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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.