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Finding the Fourth Proportional to 426.84, 589.32 and 310.20

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Solution

The fourth proportional to 426.84, 589.32 and 310.20 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.84 : 589.32 = 310.20 : x
  2. Step 2: Convert to fraction form
    426.84/589.32 = 310.20/x
  3. Step 3: Cross multiply
    426.84x = 589.32 × 310.20
  4. Step 4: Simplify right side
    426.84x = 182,807.06
  5. Step 5: Solve for x
    x = 182,807.06/426.84
  6. Step 6: Final answer
    x = 428.28

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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.