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Finding the Fourth Proportional to 594.92, 824.31 and 581.48

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Solution

The fourth proportional to 594.92, 824.31 and 581.48 is: 805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.92 : 824.31 = 581.48 : x
  2. Step 2: Convert to fraction form
    594.92/824.31 = 581.48/x
  3. Step 3: Cross multiply
    594.92x = 824.31 × 581.48
  4. Step 4: Simplify right side
    594.92x = 479,319.78
  5. Step 5: Solve for x
    x = 479,319.78/594.92
  6. Step 6: Final answer
    x = 805.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.