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Finding the Fourth Proportional to 491.34, 736.44 and 400.20

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Solution

The fourth proportional to 491.34, 736.44 and 400.20 is: 599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.34 : 736.44 = 400.20 : x
  2. Step 2: Convert to fraction form
    491.34/736.44 = 400.20/x
  3. Step 3: Cross multiply
    491.34x = 736.44 × 400.20
  4. Step 4: Simplify right side
    491.34x = 294,723.29
  5. Step 5: Solve for x
    x = 294,723.29/491.34
  6. Step 6: Final answer
    x = 599.84

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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.