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Finding the Fourth Proportional to 564.14, 777.84 and 453.44

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Solution

The fourth proportional to 564.14, 777.84 and 453.44 is: 625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 777.84 = 453.44 : x
  2. Step 2: Convert to fraction form
    564.14/777.84 = 453.44/x
  3. Step 3: Cross multiply
    564.14x = 777.84 × 453.44
  4. Step 4: Simplify right side
    564.14x = 352,703.77
  5. Step 5: Solve for x
    x = 352,703.77/564.14
  6. Step 6: Final answer
    x = 625.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.