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Finding the Fourth Proportional to 329.57, 455.32 and 296.16

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Solution

The fourth proportional to 329.57, 455.32 and 296.16 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.57 : 455.32 = 296.16 : x
  2. Step 2: Convert to fraction form
    329.57/455.32 = 296.16/x
  3. Step 3: Cross multiply
    329.57x = 455.32 × 296.16
  4. Step 4: Simplify right side
    329.57x = 134,846.23
  5. Step 5: Solve for x
    x = 134,846.23/329.57
  6. Step 6: Final answer
    x = 409.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.