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Finding the Fourth Proportional to 549.32, 824.36 and 412.65

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Solution

The fourth proportional to 549.32, 824.36 and 412.65 is: 619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 824.36 = 412.65 : x
  2. Step 2: Convert to fraction form
    549.32/824.36 = 412.65/x
  3. Step 3: Cross multiply
    549.32x = 824.36 × 412.65
  4. Step 4: Simplify right side
    549.32x = 340,170.09
  5. Step 5: Solve for x
    x = 340,170.09/549.32
  6. Step 6: Final answer
    x = 619.26

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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.