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Finding the Fourth Proportional to 563.08, 776.95 and 327.06

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Solution

The fourth proportional to 563.08, 776.95 and 327.06 is: 451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.08 : 776.95 = 327.06 : x
  2. Step 2: Convert to fraction form
    563.08/776.95 = 327.06/x
  3. Step 3: Cross multiply
    563.08x = 776.95 × 327.06
  4. Step 4: Simplify right side
    563.08x = 254,103.75
  5. Step 5: Solve for x
    x = 254,103.75/563.08
  6. Step 6: Final answer
    x = 451.27

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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.