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Finding the Fourth Proportional to 323.32, 483.75 and 292.95

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Solution

The fourth proportional to 323.32, 483.75 and 292.95 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 483.75 = 292.95 : x
  2. Step 2: Convert to fraction form
    323.32/483.75 = 292.95/x
  3. Step 3: Cross multiply
    323.32x = 483.75 × 292.95
  4. Step 4: Simplify right side
    323.32x = 141,714.56
  5. Step 5: Solve for x
    x = 141,714.56/323.32
  6. Step 6: Final answer
    x = 438.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.