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Finding the Fourth Proportional to 632.14, 947.18 and 388.15

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Solution

The fourth proportional to 632.14, 947.18 and 388.15 is: 581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.14 : 947.18 = 388.15 : x
  2. Step 2: Convert to fraction form
    632.14/947.18 = 388.15/x
  3. Step 3: Cross multiply
    632.14x = 947.18 × 388.15
  4. Step 4: Simplify right side
    632.14x = 367,647.92
  5. Step 5: Solve for x
    x = 367,647.92/632.14
  6. Step 6: Final answer
    x = 581.59

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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.