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Finding the Fourth Proportional to 319.37, 478.70 and 173.03

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Solution

The fourth proportional to 319.37, 478.70 and 173.03 is: 259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.37 : 478.70 = 173.03 : x
  2. Step 2: Convert to fraction form
    319.37/478.70 = 173.03/x
  3. Step 3: Cross multiply
    319.37x = 478.70 × 173.03
  4. Step 4: Simplify right side
    319.37x = 82,826.20
  5. Step 5: Solve for x
    x = 82,826.20/319.37
  6. Step 6: Final answer
    x = 259.35

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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.