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Finding the Fourth Proportional to 623.11, 859.91 and 343.35

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Solution

The fourth proportional to 623.11, 859.91 and 343.35 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.11 : 859.91 = 343.35 : x
  2. Step 2: Convert to fraction form
    623.11/859.91 = 343.35/x
  3. Step 3: Cross multiply
    623.11x = 859.91 × 343.35
  4. Step 4: Simplify right side
    623.11x = 295,250.10
  5. Step 5: Solve for x
    x = 295,250.10/623.11
  6. Step 6: Final answer
    x = 473.83

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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.