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Finding the Fourth Proportional to 529.58, 794.35 and 164.38

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Solution

The fourth proportional to 529.58, 794.35 and 164.38 is: 246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.58 : 794.35 = 164.38 : x
  2. Step 2: Convert to fraction form
    529.58/794.35 = 164.38/x
  3. Step 3: Cross multiply
    529.58x = 794.35 × 164.38
  4. Step 4: Simplify right side
    529.58x = 130,575.25
  5. Step 5: Solve for x
    x = 130,575.25/529.58
  6. Step 6: Final answer
    x = 246.56

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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.