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Finding the Fourth Proportional to 584.94, 873.39 and 515.92

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Solution

The fourth proportional to 584.94, 873.39 and 515.92 is: 770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.94 : 873.39 = 515.92 : x
  2. Step 2: Convert to fraction form
    584.94/873.39 = 515.92/x
  3. Step 3: Cross multiply
    584.94x = 873.39 × 515.92
  4. Step 4: Simplify right side
    584.94x = 450,599.37
  5. Step 5: Solve for x
    x = 450,599.37/584.94
  6. Step 6: Final answer
    x = 770.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.