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Finding the Fourth Proportional to 594.65, 821.00 and 408.08

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Solution

The fourth proportional to 594.65, 821.00 and 408.08 is: 563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.65 : 821.00 = 408.08 : x
  2. Step 2: Convert to fraction form
    594.65/821.00 = 408.08/x
  3. Step 3: Cross multiply
    594.65x = 821.00 × 408.08
  4. Step 4: Simplify right side
    594.65x = 335,036.75
  5. Step 5: Solve for x
    x = 335,036.75/594.65
  6. Step 6: Final answer
    x = 563.42

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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.