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Finding the Fourth Proportional to 633.17, 873.77 and 384.27

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Solution

The fourth proportional to 633.17, 873.77 and 384.27 is: 530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.17 : 873.77 = 384.27 : x
  2. Step 2: Convert to fraction form
    633.17/873.77 = 384.27/x
  3. Step 3: Cross multiply
    633.17x = 873.77 × 384.27
  4. Step 4: Simplify right side
    633.17x = 335,761.68
  5. Step 5: Solve for x
    x = 335,761.68/633.17
  6. Step 6: Final answer
    x = 530.29

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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.