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Finding the Fourth Proportional to 584.53, 806.95 and 426.98

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Solution

The fourth proportional to 584.53, 806.95 and 426.98 is: 589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.53 : 806.95 = 426.98 : x
  2. Step 2: Convert to fraction form
    584.53/806.95 = 426.98/x
  3. Step 3: Cross multiply
    584.53x = 806.95 × 426.98
  4. Step 4: Simplify right side
    584.53x = 344,554.06
  5. Step 5: Solve for x
    x = 344,554.06/584.53
  6. Step 6: Final answer
    x = 589.46

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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.