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Finding the Fourth Proportional to 568.56, 846.06 and 546.68

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Solution

The fourth proportional to 568.56, 846.06 and 546.68 is: 813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.56 : 846.06 = 546.68 : x
  2. Step 2: Convert to fraction form
    568.56/846.06 = 546.68/x
  3. Step 3: Cross multiply
    568.56x = 846.06 × 546.68
  4. Step 4: Simplify right side
    568.56x = 462,524.08
  5. Step 5: Solve for x
    x = 462,524.08/568.56
  6. Step 6: Final answer
    x = 813.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.