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Finding the Fourth Proportional to 628.14, 942.33 and 263.10

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Solution

The fourth proportional to 628.14, 942.33 and 263.10 is: 394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.14 : 942.33 = 263.10 : x
  2. Step 2: Convert to fraction form
    628.14/942.33 = 263.10/x
  3. Step 3: Cross multiply
    628.14x = 942.33 × 263.10
  4. Step 4: Simplify right side
    628.14x = 247,927.02
  5. Step 5: Solve for x
    x = 247,927.02/628.14
  6. Step 6: Final answer
    x = 394.70

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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.