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Finding the Fourth Proportional to 272.84, 378.23 and 258.75

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Solution

The fourth proportional to 272.84, 378.23 and 258.75 is: 358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.84 : 378.23 = 258.75 : x
  2. Step 2: Convert to fraction form
    272.84/378.23 = 258.75/x
  3. Step 3: Cross multiply
    272.84x = 378.23 × 258.75
  4. Step 4: Simplify right side
    272.84x = 97,865.72
  5. Step 5: Solve for x
    x = 97,865.72/272.84
  6. Step 6: Final answer
    x = 358.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.