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Finding the Fourth Proportional to 535.89, 803.93 and 261.93

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Solution

The fourth proportional to 535.89, 803.93 and 261.93 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.89 : 803.93 = 261.93 : x
  2. Step 2: Convert to fraction form
    535.89/803.93 = 261.93/x
  3. Step 3: Cross multiply
    535.89x = 803.93 × 261.93
  4. Step 4: Simplify right side
    535.89x = 210,572.08
  5. Step 5: Solve for x
    x = 210,572.08/535.89
  6. Step 6: Final answer
    x = 392.94

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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.