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Finding the Fourth Proportional to 456.37, 683.34 and 356.54

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Solution

The fourth proportional to 456.37, 683.34 and 356.54 is: 533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.37 : 683.34 = 356.54 : x
  2. Step 2: Convert to fraction form
    456.37/683.34 = 356.54/x
  3. Step 3: Cross multiply
    456.37x = 683.34 × 356.54
  4. Step 4: Simplify right side
    456.37x = 243,638.41
  5. Step 5: Solve for x
    x = 243,638.41/456.37
  6. Step 6: Final answer
    x = 533.86

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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.