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Finding the Fourth Proportional to 475.15, 711.57 and 365.33

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Solution

The fourth proportional to 475.15, 711.57 and 365.33 is: 547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.15 : 711.57 = 365.33 : x
  2. Step 2: Convert to fraction form
    475.15/711.57 = 365.33/x
  3. Step 3: Cross multiply
    475.15x = 711.57 × 365.33
  4. Step 4: Simplify right side
    475.15x = 259,955.22
  5. Step 5: Solve for x
    x = 259,955.22/475.15
  6. Step 6: Final answer
    x = 547.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.