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Finding the Fourth Proportional to 491.18, 677.23 and 359.96

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Solution

The fourth proportional to 491.18, 677.23 and 359.96 is: 496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.18 : 677.23 = 359.96 : x
  2. Step 2: Convert to fraction form
    491.18/677.23 = 359.96/x
  3. Step 3: Cross multiply
    491.18x = 677.23 × 359.96
  4. Step 4: Simplify right side
    491.18x = 243,771.42
  5. Step 5: Solve for x
    x = 243,771.42/491.18
  6. Step 6: Final answer
    x = 496.30

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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.