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Finding the Fourth Proportional to 671.49, 1,007.37 and 238.64

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Solution

The fourth proportional to 671.49, 1,007.37 and 238.64 is: 358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.49 : 1,007.37 = 238.64 : x
  2. Step 2: Convert to fraction form
    671.49/1,007.37 = 238.64/x
  3. Step 3: Cross multiply
    671.49x = 1,007.37 × 238.64
  4. Step 4: Simplify right side
    671.49x = 240,393.74
  5. Step 5: Solve for x
    x = 240,393.74/671.49
  6. Step 6: Final answer
    x = 358.00

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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.