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Finding the Fourth Proportional to 594.78, 821.44 and 408.76

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Solution

The fourth proportional to 594.78, 821.44 and 408.76 is: 564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.78 : 821.44 = 408.76 : x
  2. Step 2: Convert to fraction form
    594.78/821.44 = 408.76/x
  3. Step 3: Cross multiply
    594.78x = 821.44 × 408.76
  4. Step 4: Simplify right side
    594.78x = 335,771.81
  5. Step 5: Solve for x
    x = 335,771.81/594.78
  6. Step 6: Final answer
    x = 564.53

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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.