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Finding the Fourth Proportional to 537.06, 803.82 and 433.64

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Solution

The fourth proportional to 537.06, 803.82 and 433.64 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.06 : 803.82 = 433.64 : x
  2. Step 2: Convert to fraction form
    537.06/803.82 = 433.64/x
  3. Step 3: Cross multiply
    537.06x = 803.82 × 433.64
  4. Step 4: Simplify right side
    537.06x = 348,568.50
  5. Step 5: Solve for x
    x = 348,568.50/537.06
  6. Step 6: Final answer
    x = 649.03

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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.