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Finding the Fourth Proportional to 477.26, 716.04 and 203.58

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Solution

The fourth proportional to 477.26, 716.04 and 203.58 is: 305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.26 : 716.04 = 203.58 : x
  2. Step 2: Convert to fraction form
    477.26/716.04 = 203.58/x
  3. Step 3: Cross multiply
    477.26x = 716.04 × 203.58
  4. Step 4: Simplify right side
    477.26x = 145,773.21
  5. Step 5: Solve for x
    x = 145,773.21/477.26
  6. Step 6: Final answer
    x = 305.44

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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.