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Finding the Fourth Proportional to 485.84, 670.77 and 320.33

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Solution

The fourth proportional to 485.84, 670.77 and 320.33 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.84 : 670.77 = 320.33 : x
  2. Step 2: Convert to fraction form
    485.84/670.77 = 320.33/x
  3. Step 3: Cross multiply
    485.84x = 670.77 × 320.33
  4. Step 4: Simplify right side
    485.84x = 214,867.75
  5. Step 5: Solve for x
    x = 214,867.75/485.84
  6. Step 6: Final answer
    x = 442.26

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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.