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Finding the Fourth Proportional to 529.83, 793.94 and 367.16

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Solution

The fourth proportional to 529.83, 793.94 and 367.16 is: 550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.83 : 793.94 = 367.16 : x
  2. Step 2: Convert to fraction form
    529.83/793.94 = 367.16/x
  3. Step 3: Cross multiply
    529.83x = 793.94 × 367.16
  4. Step 4: Simplify right side
    529.83x = 291,497.20
  5. Step 5: Solve for x
    x = 291,497.20/529.83
  6. Step 6: Final answer
    x = 550.17

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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.