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Finding the Fourth Proportional to 535.25, 801.35 and 352.09

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Solution

The fourth proportional to 535.25, 801.35 and 352.09 is: 527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.25 : 801.35 = 352.09 : x
  2. Step 2: Convert to fraction form
    535.25/801.35 = 352.09/x
  3. Step 3: Cross multiply
    535.25x = 801.35 × 352.09
  4. Step 4: Simplify right side
    535.25x = 282,141.55
  5. Step 5: Solve for x
    x = 282,141.55/535.25
  6. Step 6: Final answer
    x = 527.13

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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.