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Finding the Fourth Proportional to 535.08, 801.40 and 275.30

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Solution

The fourth proportional to 535.08, 801.40 and 275.30 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.08 : 801.40 = 275.30 : x
  2. Step 2: Convert to fraction form
    535.08/801.40 = 275.30/x
  3. Step 3: Cross multiply
    535.08x = 801.40 × 275.30
  4. Step 4: Simplify right side
    535.08x = 220,627.40
  5. Step 5: Solve for x
    x = 220,627.40/535.08
  6. Step 6: Final answer
    x = 412.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.