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Finding the Fourth Proportional to 549.04, 757.32 and 409.04

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Solution

The fourth proportional to 549.04, 757.32 and 409.04 is: 564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.04 : 757.32 = 409.04 : x
  2. Step 2: Convert to fraction form
    549.04/757.32 = 409.04/x
  3. Step 3: Cross multiply
    549.04x = 757.32 × 409.04
  4. Step 4: Simplify right side
    549.04x = 309,774.17
  5. Step 5: Solve for x
    x = 309,774.17/549.04
  6. Step 6: Final answer
    x = 564.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.