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Finding the Fourth Proportional to 632.59, 873.08 and 366.99

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Solution

The fourth proportional to 632.59, 873.08 and 366.99 is: 506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.59 : 873.08 = 366.99 : x
  2. Step 2: Convert to fraction form
    632.59/873.08 = 366.99/x
  3. Step 3: Cross multiply
    632.59x = 873.08 × 366.99
  4. Step 4: Simplify right side
    632.59x = 320,411.63
  5. Step 5: Solve for x
    x = 320,411.63/632.59
  6. Step 6: Final answer
    x = 506.51

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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.