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Finding the Fourth Proportional to 400.70, 553.56 and 317.54

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Solution

The fourth proportional to 400.70, 553.56 and 317.54 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.70 : 553.56 = 317.54 : x
  2. Step 2: Convert to fraction form
    400.70/553.56 = 317.54/x
  3. Step 3: Cross multiply
    400.70x = 553.56 × 317.54
  4. Step 4: Simplify right side
    400.70x = 175,777.44
  5. Step 5: Solve for x
    x = 175,777.44/400.70
  6. Step 6: Final answer
    x = 438.68

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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.