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Finding the Fourth Proportional to 520.26, 718.14 and 334.26

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Solution

The fourth proportional to 520.26, 718.14 and 334.26 is: 461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.26 : 718.14 = 334.26 : x
  2. Step 2: Convert to fraction form
    520.26/718.14 = 334.26/x
  3. Step 3: Cross multiply
    520.26x = 718.14 × 334.26
  4. Step 4: Simplify right side
    520.26x = 240,045.48
  5. Step 5: Solve for x
    x = 240,045.48/520.26
  6. Step 6: Final answer
    x = 461.40

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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.