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Finding the Fourth Proportional to 549.02, 823.68 and 412.34

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Solution

The fourth proportional to 549.02, 823.68 and 412.34 is: 618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.02 : 823.68 = 412.34 : x
  2. Step 2: Convert to fraction form
    549.02/823.68 = 412.34/x
  3. Step 3: Cross multiply
    549.02x = 823.68 × 412.34
  4. Step 4: Simplify right side
    549.02x = 339,636.21
  5. Step 5: Solve for x
    x = 339,636.21/549.02
  6. Step 6: Final answer
    x = 618.62

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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.