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Finding the Fourth Proportional to 394.32, 543.24 and 332.08

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Solution

The fourth proportional to 394.32, 543.24 and 332.08 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 543.24 = 332.08 : x
  2. Step 2: Convert to fraction form
    394.32/543.24 = 332.08/x
  3. Step 3: Cross multiply
    394.32x = 543.24 × 332.08
  4. Step 4: Simplify right side
    394.32x = 180,399.14
  5. Step 5: Solve for x
    x = 180,399.14/394.32
  6. Step 6: Final answer
    x = 457.49

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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.