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Finding the Fourth Proportional to 623.01, 859.74 and 343.25

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Solution

The fourth proportional to 623.01, 859.74 and 343.25 is: 473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.01 : 859.74 = 343.25 : x
  2. Step 2: Convert to fraction form
    623.01/859.74 = 343.25/x
  3. Step 3: Cross multiply
    623.01x = 859.74 × 343.25
  4. Step 4: Simplify right side
    623.01x = 295,101.46
  5. Step 5: Solve for x
    x = 295,101.46/623.01
  6. Step 6: Final answer
    x = 473.67

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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.