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Finding the Fourth Proportional to 456.41, 683.22 and 353.45

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Solution

The fourth proportional to 456.41, 683.22 and 353.45 is: 529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.41 : 683.22 = 353.45 : x
  2. Step 2: Convert to fraction form
    456.41/683.22 = 353.45/x
  3. Step 3: Cross multiply
    456.41x = 683.22 × 353.45
  4. Step 4: Simplify right side
    456.41x = 241,484.11
  5. Step 5: Solve for x
    x = 241,484.11/456.41
  6. Step 6: Final answer
    x = 529.09

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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.