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Finding the Fourth Proportional to 529.81, 793.35 and 365.79

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Solution

The fourth proportional to 529.81, 793.35 and 365.79 is: 547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.81 : 793.35 = 365.79 : x
  2. Step 2: Convert to fraction form
    529.81/793.35 = 365.79/x
  3. Step 3: Cross multiply
    529.81x = 793.35 × 365.79
  4. Step 4: Simplify right side
    529.81x = 290,193.70
  5. Step 5: Solve for x
    x = 290,193.70/529.81
  6. Step 6: Final answer
    x = 547.73

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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.