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Finding the Fourth Proportional to 522.36, 721.26 and 406.20

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Solution

The fourth proportional to 522.36, 721.26 and 406.20 is: 560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.36 : 721.26 = 406.20 : x
  2. Step 2: Convert to fraction form
    522.36/721.26 = 406.20/x
  3. Step 3: Cross multiply
    522.36x = 721.26 × 406.20
  4. Step 4: Simplify right side
    522.36x = 292,975.81
  5. Step 5: Solve for x
    x = 292,975.81/522.36
  6. Step 6: Final answer
    x = 560.87

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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.