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Finding the Fourth Proportional to 671.83, 1,007.64 and 233.15

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Solution

The fourth proportional to 671.83, 1,007.64 and 233.15 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.83 : 1,007.64 = 233.15 : x
  2. Step 2: Convert to fraction form
    671.83/1,007.64 = 233.15/x
  3. Step 3: Cross multiply
    671.83x = 1,007.64 × 233.15
  4. Step 4: Simplify right side
    671.83x = 234,926.23
  5. Step 5: Solve for x
    x = 234,926.23/671.83
  6. Step 6: Final answer
    x = 349.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.