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Finding the Fourth Proportional to 280.54, 386.72 and 257.93

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Solution

The fourth proportional to 280.54, 386.72 and 257.93 is: 355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.54 : 386.72 = 257.93 : x
  2. Step 2: Convert to fraction form
    280.54/386.72 = 257.93/x
  3. Step 3: Cross multiply
    280.54x = 386.72 × 257.93
  4. Step 4: Simplify right side
    280.54x = 99,749.51
  5. Step 5: Solve for x
    x = 99,749.51/280.54
  6. Step 6: Final answer
    x = 355.56

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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.