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Finding the Fourth Proportional to 589.94, 813.95 and 465.21

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Solution

The fourth proportional to 589.94, 813.95 and 465.21 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.94 : 813.95 = 465.21 : x
  2. Step 2: Convert to fraction form
    589.94/813.95 = 465.21/x
  3. Step 3: Cross multiply
    589.94x = 813.95 × 465.21
  4. Step 4: Simplify right side
    589.94x = 378,657.68
  5. Step 5: Solve for x
    x = 378,657.68/589.94
  6. Step 6: Final answer
    x = 641.86

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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.