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Finding the Fourth Proportional to 491.73, 738.80 and 473.37

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Solution

The fourth proportional to 491.73, 738.80 and 473.37 is: 711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.73 : 738.80 = 473.37 : x
  2. Step 2: Convert to fraction form
    491.73/738.80 = 473.37/x
  3. Step 3: Cross multiply
    491.73x = 738.80 × 473.37
  4. Step 4: Simplify right side
    491.73x = 349,725.76
  5. Step 5: Solve for x
    x = 349,725.76/491.73
  6. Step 6: Final answer
    x = 711.22

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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.