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Finding the Fourth Proportional to 320.37, 441.63 and 283.47

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Solution

The fourth proportional to 320.37, 441.63 and 283.47 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.37 : 441.63 = 283.47 : x
  2. Step 2: Convert to fraction form
    320.37/441.63 = 283.47/x
  3. Step 3: Cross multiply
    320.37x = 441.63 × 283.47
  4. Step 4: Simplify right side
    320.37x = 125,188.86
  5. Step 5: Solve for x
    x = 125,188.86/320.37
  6. Step 6: Final answer
    x = 390.76

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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.