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Finding the Fourth Proportional to 628.47, 942.81 and 263.53

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Solution

The fourth proportional to 628.47, 942.81 and 263.53 is: 395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.47 : 942.81 = 263.53 : x
  2. Step 2: Convert to fraction form
    628.47/942.81 = 263.53/x
  3. Step 3: Cross multiply
    628.47x = 942.81 × 263.53
  4. Step 4: Simplify right side
    628.47x = 248,458.91
  5. Step 5: Solve for x
    x = 248,458.91/628.47
  6. Step 6: Final answer
    x = 395.34

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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.