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Finding the Fourth Proportional to 610.88, 840.11 and 485.06

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Solution

The fourth proportional to 610.88, 840.11 and 485.06 is: 667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.88 : 840.11 = 485.06 : x
  2. Step 2: Convert to fraction form
    610.88/840.11 = 485.06/x
  3. Step 3: Cross multiply
    610.88x = 840.11 × 485.06
  4. Step 4: Simplify right side
    610.88x = 407,497.13
  5. Step 5: Solve for x
    x = 407,497.13/610.88
  6. Step 6: Final answer
    x = 667.07

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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.