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Finding the Fourth Proportional to 620.21, 855.91 and 340.46

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Solution

The fourth proportional to 620.21, 855.91 and 340.46 is: 469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.21 : 855.91 = 340.46 : x
  2. Step 2: Convert to fraction form
    620.21/855.91 = 340.46/x
  3. Step 3: Cross multiply
    620.21x = 855.91 × 340.46
  4. Step 4: Simplify right side
    620.21x = 291,403.12
  5. Step 5: Solve for x
    x = 291,403.12/620.21
  6. Step 6: Final answer
    x = 469.85

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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.