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Finding the Fourth Proportional to 491.67, 678.60 and 295.25

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Solution

The fourth proportional to 491.67, 678.60 and 295.25 is: 407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 678.60 = 295.25 : x
  2. Step 2: Convert to fraction form
    491.67/678.60 = 295.25/x
  3. Step 3: Cross multiply
    491.67x = 678.60 × 295.25
  4. Step 4: Simplify right side
    491.67x = 200,353.26
  5. Step 5: Solve for x
    x = 200,353.26/491.67
  6. Step 6: Final answer
    x = 407.50

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