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Finding the Fourth Proportional to 526.92, 727.40 and 305.83

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Solution

The fourth proportional to 526.92, 727.40 and 305.83 is: 422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 727.40 = 305.83 : x
  2. Step 2: Convert to fraction form
    526.92/727.40 = 305.83/x
  3. Step 3: Cross multiply
    526.92x = 727.40 × 305.83
  4. Step 4: Simplify right side
    526.92x = 222,455.58
  5. Step 5: Solve for x
    x = 222,455.58/526.92
  6. Step 6: Final answer
    x = 422.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.