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Finding the Fourth Proportional to 633.60, 948.84 and 471.60

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Solution

The fourth proportional to 633.60, 948.84 and 471.60 is: 706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.60 : 948.84 = 471.60 : x
  2. Step 2: Convert to fraction form
    633.60/948.84 = 471.60/x
  3. Step 3: Cross multiply
    633.60x = 948.84 × 471.60
  4. Step 4: Simplify right side
    633.60x = 447,472.94
  5. Step 5: Solve for x
    x = 447,472.94/633.60
  6. Step 6: Final answer
    x = 706.24

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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.