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Finding the Fourth Proportional to 563.54, 776.86 and 423.66

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Solution

The fourth proportional to 563.54, 776.86 and 423.66 is: 584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.54 : 776.86 = 423.66 : x
  2. Step 2: Convert to fraction form
    563.54/776.86 = 423.66/x
  3. Step 3: Cross multiply
    563.54x = 776.86 × 423.66
  4. Step 4: Simplify right side
    563.54x = 329,126.36
  5. Step 5: Solve for x
    x = 329,126.36/563.54
  6. Step 6: Final answer
    x = 584.03

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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.