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Finding the Fourth Proportional to 364.93, 506.11 and 334.18

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Solution

The fourth proportional to 364.93, 506.11 and 334.18 is: 463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.93 : 506.11 = 334.18 : x
  2. Step 2: Convert to fraction form
    364.93/506.11 = 334.18/x
  3. Step 3: Cross multiply
    364.93x = 506.11 × 334.18
  4. Step 4: Simplify right side
    364.93x = 169,131.84
  5. Step 5: Solve for x
    x = 169,131.84/364.93
  6. Step 6: Final answer
    x = 463.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.