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Finding the Fourth Proportional to 320.56, 442.67 and 258.73

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Solution

The fourth proportional to 320.56, 442.67 and 258.73 is: 357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.56 : 442.67 = 258.73 : x
  2. Step 2: Convert to fraction form
    320.56/442.67 = 258.73/x
  3. Step 3: Cross multiply
    320.56x = 442.67 × 258.73
  4. Step 4: Simplify right side
    320.56x = 114,529.61
  5. Step 5: Solve for x
    x = 114,529.61/320.56
  6. Step 6: Final answer
    x = 357.28

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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.