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Finding the Fourth Proportional to 491.70, 738.42 and 467.07

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Solution

The fourth proportional to 491.70, 738.42 and 467.07 is: 701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 738.42 = 467.07 : x
  2. Step 2: Convert to fraction form
    491.70/738.42 = 467.07/x
  3. Step 3: Cross multiply
    491.70x = 738.42 × 467.07
  4. Step 4: Simplify right side
    491.70x = 344,893.83
  5. Step 5: Solve for x
    x = 344,893.83/491.70
  6. Step 6: Final answer
    x = 701.43

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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.