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Finding the Fourth Proportional to 547.64, 820.74 and 409.58

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Solution

The fourth proportional to 547.64, 820.74 and 409.58 is: 613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 820.74 = 409.58 : x
  2. Step 2: Convert to fraction form
    547.64/820.74 = 409.58/x
  3. Step 3: Cross multiply
    547.64x = 820.74 × 409.58
  4. Step 4: Simplify right side
    547.64x = 336,158.69
  5. Step 5: Solve for x
    x = 336,158.69/547.64
  6. Step 6: Final answer
    x = 613.83

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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.