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Finding the Fourth Proportional to 632.68, 873.04 and 352.86

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Solution

The fourth proportional to 632.68, 873.04 and 352.86 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 873.04 = 352.86 : x
  2. Step 2: Convert to fraction form
    632.68/873.04 = 352.86/x
  3. Step 3: Cross multiply
    632.68x = 873.04 × 352.86
  4. Step 4: Simplify right side
    632.68x = 308,060.89
  5. Step 5: Solve for x
    x = 308,060.89/632.68
  6. Step 6: Final answer
    x = 486.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.