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Finding the Fourth Proportional to 491.50, 736.88 and 296.57

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Solution

The fourth proportional to 491.50, 736.88 and 296.57 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.50 : 736.88 = 296.57 : x
  2. Step 2: Convert to fraction form
    491.50/736.88 = 296.57/x
  3. Step 3: Cross multiply
    491.50x = 736.88 × 296.57
  4. Step 4: Simplify right side
    491.50x = 218,533.56
  5. Step 5: Solve for x
    x = 218,533.56/491.50
  6. Step 6: Final answer
    x = 444.63

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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.