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Finding the Fourth Proportional to 549.02, 821.65 and 427.83

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Solution

The fourth proportional to 549.02, 821.65 and 427.83 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.02 : 821.65 = 427.83 : x
  2. Step 2: Convert to fraction form
    549.02/821.65 = 427.83/x
  3. Step 3: Cross multiply
    549.02x = 821.65 × 427.83
  4. Step 4: Simplify right side
    549.02x = 351,526.52
  5. Step 5: Solve for x
    x = 351,526.52/549.02
  6. Step 6: Final answer
    x = 640.28

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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.