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Finding the Fourth Proportional to 504.96, 696.86 and 305.81

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Solution

The fourth proportional to 504.96, 696.86 and 305.81 is: 422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.96 : 696.86 = 305.81 : x
  2. Step 2: Convert to fraction form
    504.96/696.86 = 305.81/x
  3. Step 3: Cross multiply
    504.96x = 696.86 × 305.81
  4. Step 4: Simplify right side
    504.96x = 213,101.74
  5. Step 5: Solve for x
    x = 213,101.74/504.96
  6. Step 6: Final answer
    x = 422.02

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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.