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Finding the Fourth Proportional to 634.48, 953.40 and 471.64

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Solution

The fourth proportional to 634.48, 953.40 and 471.64 is: 708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.48 : 953.40 = 471.64 : x
  2. Step 2: Convert to fraction form
    634.48/953.40 = 471.64/x
  3. Step 3: Cross multiply
    634.48x = 953.40 × 471.64
  4. Step 4: Simplify right side
    634.48x = 449,661.58
  5. Step 5: Solve for x
    x = 449,661.58/634.48
  6. Step 6: Final answer
    x = 708.71

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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.