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Finding the Fourth Proportional to 633.17, 873.74 and 367.63

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Solution

The fourth proportional to 633.17, 873.74 and 367.63 is: 507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.17 : 873.74 = 367.63 : x
  2. Step 2: Convert to fraction form
    633.17/873.74 = 367.63/x
  3. Step 3: Cross multiply
    633.17x = 873.74 × 367.63
  4. Step 4: Simplify right side
    633.17x = 321,206.83
  5. Step 5: Solve for x
    x = 321,206.83/633.17
  6. Step 6: Final answer
    x = 507.30

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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.