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Finding the Fourth Proportional to 535.06, 801.96 and 292.06

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Solution

The fourth proportional to 535.06, 801.96 and 292.06 is: 437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.06 : 801.96 = 292.06 : x
  2. Step 2: Convert to fraction form
    535.06/801.96 = 292.06/x
  3. Step 3: Cross multiply
    535.06x = 801.96 × 292.06
  4. Step 4: Simplify right side
    535.06x = 234,220.44
  5. Step 5: Solve for x
    x = 234,220.44/535.06
  6. Step 6: Final answer
    x = 437.75

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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.