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Finding the Fourth Proportional to 633.36, 873.36 and 426

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Solution

The fourth proportional to 633.36, 873.36 and 426 is: 587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.36 : 873.36 = 426 : x
  2. Step 2: Convert to fraction form
    633.36/873.36 = 426/x
  3. Step 3: Cross multiply
    633.36x = 873.36 × 426
  4. Step 4: Simplify right side
    633.36x = 372,051.36
  5. Step 5: Solve for x
    x = 372,051.36/633.36
  6. Step 6: Final answer
    x = 587.42

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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.