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Finding the Fourth Proportional to 520.42, 718.11 and 334.16

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Solution

The fourth proportional to 520.42, 718.11 and 334.16 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.42 : 718.11 = 334.16 : x
  2. Step 2: Convert to fraction form
    520.42/718.11 = 334.16/x
  3. Step 3: Cross multiply
    520.42x = 718.11 × 334.16
  4. Step 4: Simplify right side
    520.42x = 239,961.97
  5. Step 5: Solve for x
    x = 239,961.97/520.42
  6. Step 6: Final answer
    x = 461.10

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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.