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Finding the Fourth Proportional to 632.68, 873.01 and 352.92

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Solution

The fourth proportional to 632.68, 873.01 and 352.92 is: 486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 873.01 = 352.92 : x
  2. Step 2: Convert to fraction form
    632.68/873.01 = 352.92/x
  3. Step 3: Cross multiply
    632.68x = 873.01 × 352.92
  4. Step 4: Simplify right side
    632.68x = 308,106.40
  5. Step 5: Solve for x
    x = 308,106.40/632.68
  6. Step 6: Final answer
    x = 486.99

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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.