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Finding the Fourth Proportional to 561.25, 774.63 and 325.35

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Solution

The fourth proportional to 561.25, 774.63 and 325.35 is: 449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.25 : 774.63 = 325.35 : x
  2. Step 2: Convert to fraction form
    561.25/774.63 = 325.35/x
  3. Step 3: Cross multiply
    561.25x = 774.63 × 325.35
  4. Step 4: Simplify right side
    561.25x = 252,025.87
  5. Step 5: Solve for x
    x = 252,025.87/561.25
  6. Step 6: Final answer
    x = 449.04

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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.