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Finding the Fourth Proportional to 522.54, 720.81 and 469.69

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Solution

The fourth proportional to 522.54, 720.81 and 469.69 is: 647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 720.81 = 469.69 : x
  2. Step 2: Convert to fraction form
    522.54/720.81 = 469.69/x
  3. Step 3: Cross multiply
    522.54x = 720.81 × 469.69
  4. Step 4: Simplify right side
    522.54x = 338,557.25
  5. Step 5: Solve for x
    x = 338,557.25/522.54
  6. Step 6: Final answer
    x = 647.91

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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.