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Finding the Fourth Proportional to 468.01, 644.96 and 334.99

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Solution

The fourth proportional to 468.01, 644.96 and 334.99 is: 461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.01 : 644.96 = 334.99 : x
  2. Step 2: Convert to fraction form
    468.01/644.96 = 334.99/x
  3. Step 3: Cross multiply
    468.01x = 644.96 × 334.99
  4. Step 4: Simplify right side
    468.01x = 216,055.41
  5. Step 5: Solve for x
    x = 216,055.41/468.01
  6. Step 6: Final answer
    x = 461.65

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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.