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Finding the Fourth Proportional to 535.10, 803.18 and 414.68

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Solution

The fourth proportional to 535.10, 803.18 and 414.68 is: 622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.10 : 803.18 = 414.68 : x
  2. Step 2: Convert to fraction form
    535.10/803.18 = 414.68/x
  3. Step 3: Cross multiply
    535.10x = 803.18 × 414.68
  4. Step 4: Simplify right side
    535.10x = 333,062.68
  5. Step 5: Solve for x
    x = 333,062.68/535.10
  6. Step 6: Final answer
    x = 622.43

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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.