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Finding the Fourth Proportional to 632.65, 947.52 and 376.33

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Solution

The fourth proportional to 632.65, 947.52 and 376.33 is: 563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.65 : 947.52 = 376.33 : x
  2. Step 2: Convert to fraction form
    632.65/947.52 = 376.33/x
  3. Step 3: Cross multiply
    632.65x = 947.52 × 376.33
  4. Step 4: Simplify right side
    632.65x = 356,580.20
  5. Step 5: Solve for x
    x = 356,580.20/632.65
  6. Step 6: Final answer
    x = 563.63

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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.