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Finding the Fourth Proportional to 504.98, 697.14 and 305.84

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Solution

The fourth proportional to 504.98, 697.14 and 305.84 is: 422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.98 : 697.14 = 305.84 : x
  2. Step 2: Convert to fraction form
    504.98/697.14 = 305.84/x
  3. Step 3: Cross multiply
    504.98x = 697.14 × 305.84
  4. Step 4: Simplify right side
    504.98x = 213,215.04
  5. Step 5: Solve for x
    x = 213,215.04/504.98
  6. Step 6: Final answer
    x = 422.23

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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.