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Finding the Fourth Proportional to 632.59, 948.93 and 221.60

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Solution

The fourth proportional to 632.59, 948.93 and 221.60 is: 332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.59 : 948.93 = 221.60 : x
  2. Step 2: Convert to fraction form
    632.59/948.93 = 221.60/x
  3. Step 3: Cross multiply
    632.59x = 948.93 × 221.60
  4. Step 4: Simplify right side
    632.59x = 210,284.43
  5. Step 5: Solve for x
    x = 210,284.43/632.59
  6. Step 6: Final answer
    x = 332.42

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Why These Related Problems?

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