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Finding the Fourth Proportional to 491.06, 737.38 and 466.39

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Solution

The fourth proportional to 491.06, 737.38 and 466.39 is: 700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 737.38 = 466.39 : x
  2. Step 2: Convert to fraction form
    491.06/737.38 = 466.39/x
  3. Step 3: Cross multiply
    491.06x = 737.38 × 466.39
  4. Step 4: Simplify right side
    491.06x = 343,900.64
  5. Step 5: Solve for x
    x = 343,900.64/491.06
  6. Step 6: Final answer
    x = 700.33

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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.