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Finding the Fourth Proportional to 504.86, 757.83 and 409.82

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Solution

The fourth proportional to 504.86, 757.83 and 409.82 is: 615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.86 : 757.83 = 409.82 : x
  2. Step 2: Convert to fraction form
    504.86/757.83 = 409.82/x
  3. Step 3: Cross multiply
    504.86x = 757.83 × 409.82
  4. Step 4: Simplify right side
    504.86x = 310,573.89
  5. Step 5: Solve for x
    x = 310,573.89/504.86
  6. Step 6: Final answer
    x = 615.17

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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.