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Finding the Fourth Proportional to 589.55, 813.69 and 424.31

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Solution

The fourth proportional to 589.55, 813.69 and 424.31 is: 585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.55 : 813.69 = 424.31 : x
  2. Step 2: Convert to fraction form
    589.55/813.69 = 424.31/x
  3. Step 3: Cross multiply
    589.55x = 813.69 × 424.31
  4. Step 4: Simplify right side
    589.55x = 345,252.74
  5. Step 5: Solve for x
    x = 345,252.74/589.55
  6. Step 6: Final answer
    x = 585.63

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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.