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Finding the Fourth Proportional to 534.16, 795.72 and 518.04

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Solution

The fourth proportional to 534.16, 795.72 and 518.04 is: 771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 795.72 = 518.04 : x
  2. Step 2: Convert to fraction form
    534.16/795.72 = 518.04/x
  3. Step 3: Cross multiply
    534.16x = 795.72 × 518.04
  4. Step 4: Simplify right side
    534.16x = 412,214.79
  5. Step 5: Solve for x
    x = 412,214.79/534.16
  6. Step 6: Final answer
    x = 771.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.