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Finding the Fourth Proportional to 526.92, 727.18 and 305.94

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Solution

The fourth proportional to 526.92, 727.18 and 305.94 is: 422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 727.18 = 305.94 : x
  2. Step 2: Convert to fraction form
    526.92/727.18 = 305.94/x
  3. Step 3: Cross multiply
    526.92x = 727.18 × 305.94
  4. Step 4: Simplify right side
    526.92x = 222,473.45
  5. Step 5: Solve for x
    x = 222,473.45/526.92
  6. Step 6: Final answer
    x = 422.21

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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.