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Finding the Fourth Proportional to 582.56, 804.20 and 408.56

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Solution

The fourth proportional to 582.56, 804.20 and 408.56 is: 564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.56 : 804.20 = 408.56 : x
  2. Step 2: Convert to fraction form
    582.56/804.20 = 408.56/x
  3. Step 3: Cross multiply
    582.56x = 804.20 × 408.56
  4. Step 4: Simplify right side
    582.56x = 328,563.95
  5. Step 5: Solve for x
    x = 328,563.95/582.56
  6. Step 6: Final answer
    x = 564.00

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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.