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Finding the Fourth Proportional to 491.84, 736.32 and 298.88

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Solution

The fourth proportional to 491.84, 736.32 and 298.88 is: 447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.84 : 736.32 = 298.88 : x
  2. Step 2: Convert to fraction form
    491.84/736.32 = 298.88/x
  3. Step 3: Cross multiply
    491.84x = 736.32 × 298.88
  4. Step 4: Simplify right side
    491.84x = 220,071.32
  5. Step 5: Solve for x
    x = 220,071.32/491.84
  6. Step 6: Final answer
    x = 447.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.