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Finding the Fourth Proportional to 468.27, 700.56 and 305.19

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Solution

The fourth proportional to 468.27, 700.56 and 305.19 is: 456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.27 : 700.56 = 305.19 : x
  2. Step 2: Convert to fraction form
    468.27/700.56 = 305.19/x
  3. Step 3: Cross multiply
    468.27x = 700.56 × 305.19
  4. Step 4: Simplify right side
    468.27x = 213,803.91
  5. Step 5: Solve for x
    x = 213,803.91/468.27
  6. Step 6: Final answer
    x = 456.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.