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Finding the Fourth Proportional to 546.02, 817.90 and 362.83

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Solution

The fourth proportional to 546.02, 817.90 and 362.83 is: 543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.02 : 817.90 = 362.83 : x
  2. Step 2: Convert to fraction form
    546.02/817.90 = 362.83/x
  3. Step 3: Cross multiply
    546.02x = 817.90 × 362.83
  4. Step 4: Simplify right side
    546.02x = 296,758.66
  5. Step 5: Solve for x
    x = 296,758.66/546.02
  6. Step 6: Final answer
    x = 543.49

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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.