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Finding the Fourth Proportional to 633.32, 873.98 and 353.56

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Solution

The fourth proportional to 633.32, 873.98 and 353.56 is: 487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.32 : 873.98 = 353.56 : x
  2. Step 2: Convert to fraction form
    633.32/873.98 = 353.56/x
  3. Step 3: Cross multiply
    633.32x = 873.98 × 353.56
  4. Step 4: Simplify right side
    633.32x = 309,004.37
  5. Step 5: Solve for x
    x = 309,004.37/633.32
  6. Step 6: Final answer
    x = 487.91

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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.