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Finding the Fourth Proportional to 549.38, 823.44 and 289.64

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Solution

The fourth proportional to 549.38, 823.44 and 289.64 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 823.44 = 289.64 : x
  2. Step 2: Convert to fraction form
    549.38/823.44 = 289.64/x
  3. Step 3: Cross multiply
    549.38x = 823.44 × 289.64
  4. Step 4: Simplify right side
    549.38x = 238,501.16
  5. Step 5: Solve for x
    x = 238,501.16/549.38
  6. Step 6: Final answer
    x = 434.13

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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.