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Finding the Fourth Proportional to 589.04, 811.84 and 423.52

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Solution

The fourth proportional to 589.04, 811.84 and 423.52 is: 583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.04 : 811.84 = 423.52 : x
  2. Step 2: Convert to fraction form
    589.04/811.84 = 423.52/x
  3. Step 3: Cross multiply
    589.04x = 811.84 × 423.52
  4. Step 4: Simplify right side
    589.04x = 343,830.48
  5. Step 5: Solve for x
    x = 343,830.48/589.04
  6. Step 6: Final answer
    x = 583.71

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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.