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Finding the Fourth Proportional to 567.13, 782.64 and 334.25

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Solution

The fourth proportional to 567.13, 782.64 and 334.25 is: 461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.13 : 782.64 = 334.25 : x
  2. Step 2: Convert to fraction form
    567.13/782.64 = 334.25/x
  3. Step 3: Cross multiply
    567.13x = 782.64 × 334.25
  4. Step 4: Simplify right side
    567.13x = 261,597.42
  5. Step 5: Solve for x
    x = 261,597.42/567.13
  6. Step 6: Final answer
    x = 461.27

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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.