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Finding the Fourth Proportional to 467.08, 644.52 and 292.48

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Solution

The fourth proportional to 467.08, 644.52 and 292.48 is: 403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.08 : 644.52 = 292.48 : x
  2. Step 2: Convert to fraction form
    467.08/644.52 = 292.48/x
  3. Step 3: Cross multiply
    467.08x = 644.52 × 292.48
  4. Step 4: Simplify right side
    467.08x = 188,509.21
  5. Step 5: Solve for x
    x = 188,509.21/467.08
  6. Step 6: Final answer
    x = 403.59

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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.