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Finding the Fourth Proportional to 633.58, 873.79 and 412.45

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Solution

The fourth proportional to 633.58, 873.79 and 412.45 is: 568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.58 : 873.79 = 412.45 : x
  2. Step 2: Convert to fraction form
    633.58/873.79 = 412.45/x
  3. Step 3: Cross multiply
    633.58x = 873.79 × 412.45
  4. Step 4: Simplify right side
    633.58x = 360,394.69
  5. Step 5: Solve for x
    x = 360,394.69/633.58
  6. Step 6: Final answer
    x = 568.82

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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.