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Finding the Fourth Proportional to 584.04, 805.63 and 426.46

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Solution

The fourth proportional to 584.04, 805.63 and 426.46 is: 588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 805.63 = 426.46 : x
  2. Step 2: Convert to fraction form
    584.04/805.63 = 426.46/x
  3. Step 3: Cross multiply
    584.04x = 805.63 × 426.46
  4. Step 4: Simplify right side
    584.04x = 343,568.97
  5. Step 5: Solve for x
    x = 343,568.97/584.04
  6. Step 6: Final answer
    x = 588.26

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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.