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Finding the Fourth Proportional to 632.78, 873.21 and 353.01

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Solution

The fourth proportional to 632.78, 873.21 and 353.01 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.78 : 873.21 = 353.01 : x
  2. Step 2: Convert to fraction form
    632.78/873.21 = 353.01/x
  3. Step 3: Cross multiply
    632.78x = 873.21 × 353.01
  4. Step 4: Simplify right side
    632.78x = 308,251.86
  5. Step 5: Solve for x
    x = 308,251.86/632.78
  6. Step 6: Final answer
    x = 487.14

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Why These Related Problems?

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