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Finding the Fourth Proportional to 504, 757.20 and 414.08

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Solution

The fourth proportional to 504, 757.20 and 414.08 is: 622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 757.20 = 414.08 : x
  2. Step 2: Convert to fraction form
    504/757.20 = 414.08/x
  3. Step 3: Cross multiply
    504x = 757.20 × 414.08
  4. Step 4: Simplify right side
    504x = 313,541.38
  5. Step 5: Solve for x
    x = 313,541.38/504
  6. Step 6: Final answer
    x = 622.11

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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.