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Finding the Fourth Proportional to 529.20, 795.42 and 522.72

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Solution

The fourth proportional to 529.20, 795.42 and 522.72 is: 785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.20 : 795.42 = 522.72 : x
  2. Step 2: Convert to fraction form
    529.20/795.42 = 522.72/x
  3. Step 3: Cross multiply
    529.20x = 795.42 × 522.72
  4. Step 4: Simplify right side
    529.20x = 415,781.94
  5. Step 5: Solve for x
    x = 415,781.94/529.20
  6. Step 6: Final answer
    x = 785.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.