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Finding the Fourth Proportional to 522.09, 720.48 and 298.02

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Solution

The fourth proportional to 522.09, 720.48 and 298.02 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.09 : 720.48 = 298.02 : x
  2. Step 2: Convert to fraction form
    522.09/720.48 = 298.02/x
  3. Step 3: Cross multiply
    522.09x = 720.48 × 298.02
  4. Step 4: Simplify right side
    522.09x = 214,719.25
  5. Step 5: Solve for x
    x = 214,719.25/522.09
  6. Step 6: Final answer
    x = 411.27

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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.