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Finding the Fourth Proportional to 620.36, 856.06 and 340.59

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Solution

The fourth proportional to 620.36, 856.06 and 340.59 is: 469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.36 : 856.06 = 340.59 : x
  2. Step 2: Convert to fraction form
    620.36/856.06 = 340.59/x
  3. Step 3: Cross multiply
    620.36x = 856.06 × 340.59
  4. Step 4: Simplify right side
    620.36x = 291,559.49
  5. Step 5: Solve for x
    x = 291,559.49/620.36
  6. Step 6: Final answer
    x = 469.99

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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.