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Finding the Fourth Proportional to 549.36, 823.20 and 412.32

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Solution

The fourth proportional to 549.36, 823.20 and 412.32 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 823.20 = 412.32 : x
  2. Step 2: Convert to fraction form
    549.36/823.20 = 412.32/x
  3. Step 3: Cross multiply
    549.36x = 823.20 × 412.32
  4. Step 4: Simplify right side
    549.36x = 339,421.82
  5. Step 5: Solve for x
    x = 339,421.82/549.36
  6. Step 6: Final answer
    x = 617.85

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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.