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Finding the Fourth Proportional to 467.96, 644.18 and 384.92

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Solution

The fourth proportional to 467.96, 644.18 and 384.92 is: 529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.96 : 644.18 = 384.92 : x
  2. Step 2: Convert to fraction form
    467.96/644.18 = 384.92/x
  3. Step 3: Cross multiply
    467.96x = 644.18 × 384.92
  4. Step 4: Simplify right side
    467.96x = 247,957.77
  5. Step 5: Solve for x
    x = 247,957.77/467.96
  6. Step 6: Final answer
    x = 529.87

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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.