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Finding the Fourth Proportional to 485.88, 670.56 and 320.46

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Solution

The fourth proportional to 485.88, 670.56 and 320.46 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.88 : 670.56 = 320.46 : x
  2. Step 2: Convert to fraction form
    485.88/670.56 = 320.46/x
  3. Step 3: Cross multiply
    485.88x = 670.56 × 320.46
  4. Step 4: Simplify right side
    485.88x = 214,887.66
  5. Step 5: Solve for x
    x = 214,887.66/485.88
  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.