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Finding the Fourth Proportional to 491.98, 738.06 and 275.26

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Solution

The fourth proportional to 491.98, 738.06 and 275.26 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.98 : 738.06 = 275.26 : x
  2. Step 2: Convert to fraction form
    491.98/738.06 = 275.26/x
  3. Step 3: Cross multiply
    491.98x = 738.06 × 275.26
  4. Step 4: Simplify right side
    491.98x = 203,158.40
  5. Step 5: Solve for x
    x = 203,158.40/491.98
  6. Step 6: Final answer
    x = 412.94

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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.