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Finding the Fourth Proportional to 522.16, 720.60 and 289.28

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Solution

The fourth proportional to 522.16, 720.60 and 289.28 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.16 : 720.60 = 289.28 : x
  2. Step 2: Convert to fraction form
    522.16/720.60 = 289.28/x
  3. Step 3: Cross multiply
    522.16x = 720.60 × 289.28
  4. Step 4: Simplify right side
    522.16x = 208,455.17
  5. Step 5: Solve for x
    x = 208,455.17/522.16
  6. Step 6: Final answer
    x = 399.22

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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.