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Finding the Fourth Proportional to 589.40, 813.29 and 337.31

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Solution

The fourth proportional to 589.40, 813.29 and 337.31 is: 465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 813.29 = 337.31 : x
  2. Step 2: Convert to fraction form
    589.40/813.29 = 337.31/x
  3. Step 3: Cross multiply
    589.40x = 813.29 × 337.31
  4. Step 4: Simplify right side
    589.40x = 274,331.20
  5. Step 5: Solve for x
    x = 274,331.20/589.40
  6. Step 6: Final answer
    x = 465.45

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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.