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Finding the Fourth Proportional to 632.52, 948.09 and 358.54

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Solution

The fourth proportional to 632.52, 948.09 and 358.54 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.52 : 948.09 = 358.54 : x
  2. Step 2: Convert to fraction form
    632.52/948.09 = 358.54/x
  3. Step 3: Cross multiply
    632.52x = 948.09 × 358.54
  4. Step 4: Simplify right side
    632.52x = 339,928.19
  5. Step 5: Solve for x
    x = 339,928.19/632.52
  6. Step 6: Final answer
    x = 537.42

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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.