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Finding the Fourth Proportional to 671.67, 927.06 and 498.33

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Solution

The fourth proportional to 671.67, 927.06 and 498.33 is: 687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.67 : 927.06 = 498.33 : x
  2. Step 2: Convert to fraction form
    671.67/927.06 = 498.33/x
  3. Step 3: Cross multiply
    671.67x = 927.06 × 498.33
  4. Step 4: Simplify right side
    671.67x = 461,981.81
  5. Step 5: Solve for x
    x = 461,981.81/671.67
  6. Step 6: Final answer
    x = 687.81

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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.