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Finding the Fourth Proportional to 543.87, 815.88 and 235.74

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Solution

The fourth proportional to 543.87, 815.88 and 235.74 is: 353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.87 : 815.88 = 235.74 : x
  2. Step 2: Convert to fraction form
    543.87/815.88 = 235.74/x
  3. Step 3: Cross multiply
    543.87x = 815.88 × 235.74
  4. Step 4: Simplify right side
    543.87x = 192,335.55
  5. Step 5: Solve for x
    x = 192,335.55/543.87
  6. Step 6: Final answer
    x = 353.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.