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Finding the Fourth Proportional to 491.48, 678.94 and 382.36

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Solution

The fourth proportional to 491.48, 678.94 and 382.36 is: 528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.48 : 678.94 = 382.36 : x
  2. Step 2: Convert to fraction form
    491.48/678.94 = 382.36/x
  3. Step 3: Cross multiply
    491.48x = 678.94 × 382.36
  4. Step 4: Simplify right side
    491.48x = 259,599.50
  5. Step 5: Solve for x
    x = 259,599.50/491.48
  6. Step 6: Final answer
    x = 528.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.