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Finding the Fourth Proportional to 568.48, 857.08 and 516.64

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Solution

The fourth proportional to 568.48, 857.08 and 516.64 is: 778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.48 : 857.08 = 516.64 : x
  2. Step 2: Convert to fraction form
    568.48/857.08 = 516.64/x
  3. Step 3: Cross multiply
    568.48x = 857.08 × 516.64
  4. Step 4: Simplify right side
    568.48x = 442,801.81
  5. Step 5: Solve for x
    x = 442,801.81/568.48
  6. Step 6: Final answer
    x = 778.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.