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Finding the Fourth Proportional to 480.04, 716.83 and 477.16

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Solution

The fourth proportional to 480.04, 716.83 and 477.16 is: 712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.04 : 716.83 = 477.16 : x
  2. Step 2: Convert to fraction form
    480.04/716.83 = 477.16/x
  3. Step 3: Cross multiply
    480.04x = 716.83 × 477.16
  4. Step 4: Simplify right side
    480.04x = 342,039.62
  5. Step 5: Solve for x
    x = 342,039.62/480.04
  6. Step 6: Final answer
    x = 712.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.