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Finding the Fourth Proportional to 383.20, 528.46 and 309.48

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Solution

The fourth proportional to 383.20, 528.46 and 309.48 is: 426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.20 : 528.46 = 309.48 : x
  2. Step 2: Convert to fraction form
    383.20/528.46 = 309.48/x
  3. Step 3: Cross multiply
    383.20x = 528.46 × 309.48
  4. Step 4: Simplify right side
    383.20x = 163,547.80
  5. Step 5: Solve for x
    x = 163,547.80/383.20
  6. Step 6: Final answer
    x = 426.79

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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.