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Finding the Fourth Proportional to 476.28, 661.77 and 471.20

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Solution

The fourth proportional to 476.28, 661.77 and 471.20 is: 654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 661.77 = 471.20 : x
  2. Step 2: Convert to fraction form
    476.28/661.77 = 471.20/x
  3. Step 3: Cross multiply
    476.28x = 661.77 × 471.20
  4. Step 4: Simplify right side
    476.28x = 311,822.72
  5. Step 5: Solve for x
    x = 311,822.72/476.28
  6. Step 6: Final answer
    x = 654.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.