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Finding the Fourth Proportional to 485.24, 727.29 and 411.89

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Solution

The fourth proportional to 485.24, 727.29 and 411.89 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.24 : 727.29 = 411.89 : x
  2. Step 2: Convert to fraction form
    485.24/727.29 = 411.89/x
  3. Step 3: Cross multiply
    485.24x = 727.29 × 411.89
  4. Step 4: Simplify right side
    485.24x = 299,559.84
  5. Step 5: Solve for x
    x = 299,559.84/485.24
  6. Step 6: Final answer
    x = 617.35

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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.