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Finding the Fourth Proportional to 535.73, 803.63 and 211.32

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Solution

The fourth proportional to 535.73, 803.63 and 211.32 is: 317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.73 : 803.63 = 211.32 : x
  2. Step 2: Convert to fraction form
    535.73/803.63 = 211.32/x
  3. Step 3: Cross multiply
    535.73x = 803.63 × 211.32
  4. Step 4: Simplify right side
    535.73x = 169,825.84
  5. Step 5: Solve for x
    x = 169,825.84/535.73
  6. Step 6: Final answer
    x = 317.00

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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.