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Finding the Fourth Proportional to 623.15, 859.95 and 343.41

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Solution

The fourth proportional to 623.15, 859.95 and 343.41 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.15 : 859.95 = 343.41 : x
  2. Step 2: Convert to fraction form
    623.15/859.95 = 343.41/x
  3. Step 3: Cross multiply
    623.15x = 859.95 × 343.41
  4. Step 4: Simplify right side
    623.15x = 295,315.43
  5. Step 5: Solve for x
    x = 295,315.43/623.15
  6. Step 6: Final answer
    x = 473.91

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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.