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Finding the Fourth Proportional to 535.30, 738.05 and 395.22

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Solution

The fourth proportional to 535.30, 738.05 and 395.22 is: 544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.30 : 738.05 = 395.22 : x
  2. Step 2: Convert to fraction form
    535.30/738.05 = 395.22/x
  3. Step 3: Cross multiply
    535.30x = 738.05 × 395.22
  4. Step 4: Simplify right side
    535.30x = 291,692.12
  5. Step 5: Solve for x
    x = 291,692.12/535.30
  6. Step 6: Final answer
    x = 544.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.