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Finding the Fourth Proportional to 522.63, 720.94 and 469.78

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Solution

The fourth proportional to 522.63, 720.94 and 469.78 is: 648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.63 : 720.94 = 469.78 : x
  2. Step 2: Convert to fraction form
    522.63/720.94 = 469.78/x
  3. Step 3: Cross multiply
    522.63x = 720.94 × 469.78
  4. Step 4: Simplify right side
    522.63x = 338,682.02
  5. Step 5: Solve for x
    x = 338,682.02/522.63
  6. Step 6: Final answer
    x = 648.03

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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.