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Finding the Fourth Proportional to 433.54, 652.94 and 365.50

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Solution

The fourth proportional to 433.54, 652.94 and 365.50 is: 550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.54 : 652.94 = 365.50 : x
  2. Step 2: Convert to fraction form
    433.54/652.94 = 365.50/x
  3. Step 3: Cross multiply
    433.54x = 652.94 × 365.50
  4. Step 4: Simplify right side
    433.54x = 238,649.57
  5. Step 5: Solve for x
    x = 238,649.57/433.54
  6. Step 6: Final answer
    x = 550.47

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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.