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Finding the Fourth Proportional to 323.36, 482.80 and 292.40

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Solution

The fourth proportional to 323.36, 482.80 and 292.40 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.36 : 482.80 = 292.40 : x
  2. Step 2: Convert to fraction form
    323.36/482.80 = 292.40/x
  3. Step 3: Cross multiply
    323.36x = 482.80 × 292.40
  4. Step 4: Simplify right side
    323.36x = 141,170.72
  5. Step 5: Solve for x
    x = 141,170.72/323.36
  6. Step 6: Final answer
    x = 436.57

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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.