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Finding the Fourth Proportional to 522.17, 720.64 and 289.29

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Solution

The fourth proportional to 522.17, 720.64 and 289.29 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.17 : 720.64 = 289.29 : x
  2. Step 2: Convert to fraction form
    522.17/720.64 = 289.29/x
  3. Step 3: Cross multiply
    522.17x = 720.64 × 289.29
  4. Step 4: Simplify right side
    522.17x = 208,473.95
  5. Step 5: Solve for x
    x = 208,473.95/522.17
  6. Step 6: Final answer
    x = 399.25

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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.