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Finding the Fourth Proportional to 535.65, 803.46 and 210.79

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Solution

The fourth proportional to 535.65, 803.46 and 210.79 is: 316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.65 : 803.46 = 210.79 : x
  2. Step 2: Convert to fraction form
    535.65/803.46 = 210.79/x
  3. Step 3: Cross multiply
    535.65x = 803.46 × 210.79
  4. Step 4: Simplify right side
    535.65x = 169,361.33
  5. Step 5: Solve for x
    x = 169,361.33/535.65
  6. Step 6: Final answer
    x = 316.18

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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.