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Finding the Fourth Proportional to 568.98, 785.64 and 494.55

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Solution

The fourth proportional to 568.98, 785.64 and 494.55 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.98 : 785.64 = 494.55 : x
  2. Step 2: Convert to fraction form
    568.98/785.64 = 494.55/x
  3. Step 3: Cross multiply
    568.98x = 785.64 × 494.55
  4. Step 4: Simplify right side
    568.98x = 388,538.26
  5. Step 5: Solve for x
    x = 388,538.26/568.98
  6. Step 6: Final answer
    x = 682.87

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Why These Related Problems?

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