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Finding the Fourth Proportional to 547.58, 820.46 and 384.48

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Solution

The fourth proportional to 547.58, 820.46 and 384.48 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.58 : 820.46 = 384.48 : x
  2. Step 2: Convert to fraction form
    547.58/820.46 = 384.48/x
  3. Step 3: Cross multiply
    547.58x = 820.46 × 384.48
  4. Step 4: Simplify right side
    547.58x = 315,451.42
  5. Step 5: Solve for x
    x = 315,451.42/547.58
  6. Step 6: Final answer
    x = 576.08

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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.