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Finding the Fourth Proportional to 529.06, 793.59 and 144.31

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Solution

The fourth proportional to 529.06, 793.59 and 144.31 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.06 : 793.59 = 144.31 : x
  2. Step 2: Convert to fraction form
    529.06/793.59 = 144.31/x
  3. Step 3: Cross multiply
    529.06x = 793.59 × 144.31
  4. Step 4: Simplify right side
    529.06x = 114,522.97
  5. Step 5: Solve for x
    x = 114,522.97/529.06
  6. Step 6: Final answer
    x = 216.47

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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.