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Finding the Fourth Proportional to 536.54, 799.38 and 529.02

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Solution

The fourth proportional to 536.54, 799.38 and 529.02 is: 788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.54 : 799.38 = 529.02 : x
  2. Step 2: Convert to fraction form
    536.54/799.38 = 529.02/x
  3. Step 3: Cross multiply
    536.54x = 799.38 × 529.02
  4. Step 4: Simplify right side
    536.54x = 422,888.01
  5. Step 5: Solve for x
    x = 422,888.01/536.54
  6. Step 6: Final answer
    x = 788.18

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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.