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Finding the Fourth Proportional to 475.41, 655.41 and 465.06

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Solution

The fourth proportional to 475.41, 655.41 and 465.06 is: 641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.41 : 655.41 = 465.06 : x
  2. Step 2: Convert to fraction form
    475.41/655.41 = 465.06/x
  3. Step 3: Cross multiply
    475.41x = 655.41 × 465.06
  4. Step 4: Simplify right side
    475.41x = 304,804.97
  5. Step 5: Solve for x
    x = 304,804.97/475.41
  6. Step 6: Final answer
    x = 641.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.