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Finding the Fourth Proportional to 522.57, 720.71 and 439.88

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Solution

The fourth proportional to 522.57, 720.71 and 439.88 is: 606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 720.71 = 439.88 : x
  2. Step 2: Convert to fraction form
    522.57/720.71 = 439.88/x
  3. Step 3: Cross multiply
    522.57x = 720.71 × 439.88
  4. Step 4: Simplify right side
    522.57x = 317,021.76
  5. Step 5: Solve for x
    x = 317,021.76/522.57
  6. Step 6: Final answer
    x = 606.65

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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.