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Finding the Fourth Proportional to 477.18, 656.96 and 449.84

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Solution

The fourth proportional to 477.18, 656.96 and 449.84 is: 619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 656.96 = 449.84 : x
  2. Step 2: Convert to fraction form
    477.18/656.96 = 449.84/x
  3. Step 3: Cross multiply
    477.18x = 656.96 × 449.84
  4. Step 4: Simplify right side
    477.18x = 295,521.35
  5. Step 5: Solve for x
    x = 295,521.35/477.18
  6. Step 6: Final answer
    x = 619.31

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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.