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Finding the Fourth Proportional to 520.36, 718.26 and 458.80

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Solution

The fourth proportional to 520.36, 718.26 and 458.80 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 718.26 = 458.80 : x
  2. Step 2: Convert to fraction form
    520.36/718.26 = 458.80/x
  3. Step 3: Cross multiply
    520.36x = 718.26 × 458.80
  4. Step 4: Simplify right side
    520.36x = 329,537.69
  5. Step 5: Solve for x
    x = 329,537.69/520.36
  6. Step 6: Final answer
    x = 633.29

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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.