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Finding the Fourth Proportional to 529.53, 799.29 and 529.53

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Solution

The fourth proportional to 529.53, 799.29 and 529.53 is: 799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.53 : 799.29 = 529.53 : x
  2. Step 2: Convert to fraction form
    529.53/799.29 = 529.53/x
  3. Step 3: Cross multiply
    529.53x = 799.29 × 529.53
  4. Step 4: Simplify right side
    529.53x = 423,248.03
  5. Step 5: Solve for x
    x = 423,248.03/529.53
  6. Step 6: Final answer
    x = 799.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.