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Finding the Fourth Proportional to 329.25, 493.52 and 312.16

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Solution

The fourth proportional to 329.25, 493.52 and 312.16 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.25 : 493.52 = 312.16 : x
  2. Step 2: Convert to fraction form
    329.25/493.52 = 312.16/x
  3. Step 3: Cross multiply
    329.25x = 493.52 × 312.16
  4. Step 4: Simplify right side
    329.25x = 154,054.74
  5. Step 5: Solve for x
    x = 154,054.74/329.25
  6. Step 6: Final answer
    x = 467.90

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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.