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Finding the Fourth Proportional to 564.25, 776.05 and 453.55

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Solution

The fourth proportional to 564.25, 776.05 and 453.55 is: 623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 776.05 = 453.55 : x
  2. Step 2: Convert to fraction form
    564.25/776.05 = 453.55/x
  3. Step 3: Cross multiply
    564.25x = 776.05 × 453.55
  4. Step 4: Simplify right side
    564.25x = 351,977.48
  5. Step 5: Solve for x
    x = 351,977.48/564.25
  6. Step 6: Final answer
    x = 623.80

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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.