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Finding the Fourth Proportional to 522.41, 720.98 and 301.42

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Solution

The fourth proportional to 522.41, 720.98 and 301.42 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.41 : 720.98 = 301.42 : x
  2. Step 2: Convert to fraction form
    522.41/720.98 = 301.42/x
  3. Step 3: Cross multiply
    522.41x = 720.98 × 301.42
  4. Step 4: Simplify right side
    522.41x = 217,317.79
  5. Step 5: Solve for x
    x = 217,317.79/522.41
  6. Step 6: Final answer
    x = 415.99

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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.