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Finding the Fourth Proportional to 549.03, 823.83 and 433.11

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Solution

The fourth proportional to 549.03, 823.83 and 433.11 is: 649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.03 : 823.83 = 433.11 : x
  2. Step 2: Convert to fraction form
    549.03/823.83 = 433.11/x
  3. Step 3: Cross multiply
    549.03x = 823.83 × 433.11
  4. Step 4: Simplify right side
    549.03x = 356,809.01
  5. Step 5: Solve for x
    x = 356,809.01/549.03
  6. Step 6: Final answer
    x = 649.89

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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.