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Finding the Fourth Proportional to 468.58, 646.50 and 335.84

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Solution

The fourth proportional to 468.58, 646.50 and 335.84 is: 463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.58 : 646.50 = 335.84 : x
  2. Step 2: Convert to fraction form
    468.58/646.50 = 335.84/x
  3. Step 3: Cross multiply
    468.58x = 646.50 × 335.84
  4. Step 4: Simplify right side
    468.58x = 217,120.56
  5. Step 5: Solve for x
    x = 217,120.56/468.58
  6. Step 6: Final answer
    x = 463.36

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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.