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Finding the Fourth Proportional to 522.15, 720.55 and 289.27

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Solution

The fourth proportional to 522.15, 720.55 and 289.27 is: 399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.15 : 720.55 = 289.27 : x
  2. Step 2: Convert to fraction form
    522.15/720.55 = 289.27/x
  3. Step 3: Cross multiply
    522.15x = 720.55 × 289.27
  4. Step 4: Simplify right side
    522.15x = 208,434.76
  5. Step 5: Solve for x
    x = 208,434.76/522.15
  6. Step 6: Final answer
    x = 399.19

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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.