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Finding the Fourth Proportional to 632.58, 948.86 and 471.29

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Solution

The fourth proportional to 632.58, 948.86 and 471.29 is: 706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.58 : 948.86 = 471.29 : x
  2. Step 2: Convert to fraction form
    632.58/948.86 = 471.29/x
  3. Step 3: Cross multiply
    632.58x = 948.86 × 471.29
  4. Step 4: Simplify right side
    632.58x = 447,185.55
  5. Step 5: Solve for x
    x = 447,185.55/632.58
  6. Step 6: Final answer
    x = 706.93

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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.