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Finding the Fourth Proportional to 573.50, 853.69 and 546.96

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Solution

The fourth proportional to 573.50, 853.69 and 546.96 is: 814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.50 : 853.69 = 546.96 : x
  2. Step 2: Convert to fraction form
    573.50/853.69 = 546.96/x
  3. Step 3: Cross multiply
    573.50x = 853.69 × 546.96
  4. Step 4: Simplify right side
    573.50x = 466,934.28
  5. Step 5: Solve for x
    x = 466,934.28/573.50
  6. Step 6: Final answer
    x = 814.18

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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.