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Finding the Fourth Proportional to 522.15, 720.41 and 301.02

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Solution

The fourth proportional to 522.15, 720.41 and 301.02 is: 415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.15 : 720.41 = 301.02 : x
  2. Step 2: Convert to fraction form
    522.15/720.41 = 301.02/x
  3. Step 3: Cross multiply
    522.15x = 720.41 × 301.02
  4. Step 4: Simplify right side
    522.15x = 216,856.31
  5. Step 5: Solve for x
    x = 216,856.31/522.15
  6. Step 6: Final answer
    x = 415.31

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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.