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Finding the Fourth Proportional to 561.44, 774.54 and 328.46

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Solution

The fourth proportional to 561.44, 774.54 and 328.46 is: 453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.44 : 774.54 = 328.46 : x
  2. Step 2: Convert to fraction form
    561.44/774.54 = 328.46/x
  3. Step 3: Cross multiply
    561.44x = 774.54 × 328.46
  4. Step 4: Simplify right side
    561.44x = 254,405.41
  5. Step 5: Solve for x
    x = 254,405.41/561.44
  6. Step 6: Final answer
    x = 453.13

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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.