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Finding the Fourth Proportional to 475.80, 664.50 and 475.80

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Solution

The fourth proportional to 475.80, 664.50 and 475.80 is: 664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 664.50 = 475.80 : x
  2. Step 2: Convert to fraction form
    475.80/664.50 = 475.80/x
  3. Step 3: Cross multiply
    475.80x = 664.50 × 475.80
  4. Step 4: Simplify right side
    475.80x = 316,169.10
  5. Step 5: Solve for x
    x = 316,169.10/475.80
  6. Step 6: Final answer
    x = 664.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.