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Finding the Fourth Proportional to 477.63, 653.49 and 475.83

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Solution

The fourth proportional to 477.63, 653.49 and 475.83 is: 651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 653.49 = 475.83 : x
  2. Step 2: Convert to fraction form
    477.63/653.49 = 475.83/x
  3. Step 3: Cross multiply
    477.63x = 653.49 × 475.83
  4. Step 4: Simplify right side
    477.63x = 310,950.15
  5. Step 5: Solve for x
    x = 310,950.15/477.63
  6. Step 6: Final answer
    x = 651.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.