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Finding the Fourth Proportional to 546.02, 821.46 and 498.23

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Solution

The fourth proportional to 546.02, 821.46 and 498.23 is: 749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.02 : 821.46 = 498.23 : x
  2. Step 2: Convert to fraction form
    546.02/821.46 = 498.23/x
  3. Step 3: Cross multiply
    546.02x = 821.46 × 498.23
  4. Step 4: Simplify right side
    546.02x = 409,276.02
  5. Step 5: Solve for x
    x = 409,276.02/546.02
  6. Step 6: Final answer
    x = 749.56

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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.