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Finding the Fourth Proportional to 475.76, 711.65 and 400.65

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Solution

The fourth proportional to 475.76, 711.65 and 400.65 is: 599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.76 : 711.65 = 400.65 : x
  2. Step 2: Convert to fraction form
    475.76/711.65 = 400.65/x
  3. Step 3: Cross multiply
    475.76x = 711.65 × 400.65
  4. Step 4: Simplify right side
    475.76x = 285,120.57
  5. Step 5: Solve for x
    x = 285,120.57/475.76
  6. Step 6: Final answer
    x = 599.30

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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.