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Finding the Fourth Proportional to 504.72, 757.08 and 409.14

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Solution

The fourth proportional to 504.72, 757.08 and 409.14 is: 613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.72 : 757.08 = 409.14 : x
  2. Step 2: Convert to fraction form
    504.72/757.08 = 409.14/x
  3. Step 3: Cross multiply
    504.72x = 757.08 × 409.14
  4. Step 4: Simplify right side
    504.72x = 309,751.71
  5. Step 5: Solve for x
    x = 309,751.71/504.72
  6. Step 6: Final answer
    x = 613.71

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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.