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Finding the Fourth Proportional to 567.44, 781.64 and 450.96

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Solution

The fourth proportional to 567.44, 781.64 and 450.96 is: 621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.44 : 781.64 = 450.96 : x
  2. Step 2: Convert to fraction form
    567.44/781.64 = 450.96/x
  3. Step 3: Cross multiply
    567.44x = 781.64 × 450.96
  4. Step 4: Simplify right side
    567.44x = 352,488.37
  5. Step 5: Solve for x
    x = 352,488.37/567.44
  6. Step 6: Final answer
    x = 621.19

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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.