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Finding the Fourth Proportional to 623.17, 859.94 and 343.39

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Solution

The fourth proportional to 623.17, 859.94 and 343.39 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.17 : 859.94 = 343.39 : x
  2. Step 2: Convert to fraction form
    623.17/859.94 = 343.39/x
  3. Step 3: Cross multiply
    623.17x = 859.94 × 343.39
  4. Step 4: Simplify right side
    623.17x = 295,293.51
  5. Step 5: Solve for x
    x = 295,293.51/623.17
  6. Step 6: Final answer
    x = 473.86

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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.