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Finding the Fourth Proportional to 522.09, 720.63 and 301.13

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Solution

The fourth proportional to 522.09, 720.63 and 301.13 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.09 : 720.63 = 301.13 : x
  2. Step 2: Convert to fraction form
    522.09/720.63 = 301.13/x
  3. Step 3: Cross multiply
    522.09x = 720.63 × 301.13
  4. Step 4: Simplify right side
    522.09x = 217,002.41
  5. Step 5: Solve for x
    x = 217,002.41/522.09
  6. Step 6: Final answer
    x = 415.64

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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.