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Finding the Fourth Proportional to 628.54, 942.55 and 258.28

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Solution

The fourth proportional to 628.54, 942.55 and 258.28 is: 387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.54 : 942.55 = 258.28 : x
  2. Step 2: Convert to fraction form
    628.54/942.55 = 258.28/x
  3. Step 3: Cross multiply
    628.54x = 942.55 × 258.28
  4. Step 4: Simplify right side
    628.54x = 243,438.81
  5. Step 5: Solve for x
    x = 243,438.81/628.54
  6. Step 6: Final answer
    x = 387.31

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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.