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Finding the Fourth Proportional to 567.79, 782.76 and 485.77

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Solution

The fourth proportional to 567.79, 782.76 and 485.77 is: 669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.79 : 782.76 = 485.77 : x
  2. Step 2: Convert to fraction form
    567.79/782.76 = 485.77/x
  3. Step 3: Cross multiply
    567.79x = 782.76 × 485.77
  4. Step 4: Simplify right side
    567.79x = 380,241.33
  5. Step 5: Solve for x
    x = 380,241.33/567.79
  6. Step 6: Final answer
    x = 669.69

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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.