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Finding the Fourth Proportional to 594.36, 817.92 and 577.44

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Solution

The fourth proportional to 594.36, 817.92 and 577.44 is: 794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.36 : 817.92 = 577.44 : x
  2. Step 2: Convert to fraction form
    594.36/817.92 = 577.44/x
  3. Step 3: Cross multiply
    594.36x = 817.92 × 577.44
  4. Step 4: Simplify right side
    594.36x = 472,299.72
  5. Step 5: Solve for x
    x = 472,299.72/594.36
  6. Step 6: Final answer
    x = 794.64

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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.