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Finding the Fourth Proportional to 323.60, 483.17 and 292.82

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Solution

The fourth proportional to 323.60, 483.17 and 292.82 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.60 : 483.17 = 292.82 : x
  2. Step 2: Convert to fraction form
    323.60/483.17 = 292.82/x
  3. Step 3: Cross multiply
    323.60x = 483.17 × 292.82
  4. Step 4: Simplify right side
    323.60x = 141,477.96
  5. Step 5: Solve for x
    x = 141,477.96/323.60
  6. Step 6: Final answer
    x = 437.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.