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Finding the Fourth Proportional to 633.33, 873.45 and 412.20

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Solution

The fourth proportional to 633.33, 873.45 and 412.20 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.33 : 873.45 = 412.20 : x
  2. Step 2: Convert to fraction form
    633.33/873.45 = 412.20/x
  3. Step 3: Cross multiply
    633.33x = 873.45 × 412.20
  4. Step 4: Simplify right side
    633.33x = 360,036.09
  5. Step 5: Solve for x
    x = 360,036.09/633.33
  6. Step 6: Final answer
    x = 568.48

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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.