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Finding the Fourth Proportional to 558.54, 771.66 and 384.81

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Solution

The fourth proportional to 558.54, 771.66 and 384.81 is: 531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.54 : 771.66 = 384.81 : x
  2. Step 2: Convert to fraction form
    558.54/771.66 = 384.81/x
  3. Step 3: Cross multiply
    558.54x = 771.66 × 384.81
  4. Step 4: Simplify right side
    558.54x = 296,942.48
  5. Step 5: Solve for x
    x = 296,942.48/558.54
  6. Step 6: Final answer
    x = 531.64

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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.