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Finding the Fourth Proportional to 522.39, 720.90 and 289.51

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Solution

The fourth proportional to 522.39, 720.90 and 289.51 is: 399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.39 : 720.90 = 289.51 : x
  2. Step 2: Convert to fraction form
    522.39/720.90 = 289.51/x
  3. Step 3: Cross multiply
    522.39x = 720.90 × 289.51
  4. Step 4: Simplify right side
    522.39x = 208,707.76
  5. Step 5: Solve for x
    x = 208,707.76/522.39
  6. Step 6: Final answer
    x = 399.52

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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.