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Finding the Fourth Proportional to 426.90, 589.23 and 383.16

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Solution

The fourth proportional to 426.90, 589.23 and 383.16 is: 528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.90 : 589.23 = 383.16 : x
  2. Step 2: Convert to fraction form
    426.90/589.23 = 383.16/x
  3. Step 3: Cross multiply
    426.90x = 589.23 × 383.16
  4. Step 4: Simplify right side
    426.90x = 225,769.37
  5. Step 5: Solve for x
    x = 225,769.37/426.90
  6. Step 6: Final answer
    x = 528.86

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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.