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Finding the Fourth Proportional to 541.32, 808.43 and 535.65

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Solution

The fourth proportional to 541.32, 808.43 and 535.65 is: 799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.32 : 808.43 = 535.65 : x
  2. Step 2: Convert to fraction form
    541.32/808.43 = 535.65/x
  3. Step 3: Cross multiply
    541.32x = 808.43 × 535.65
  4. Step 4: Simplify right side
    541.32x = 433,032.85
  5. Step 5: Solve for x
    x = 433,032.85/541.32
  6. Step 6: Final answer
    x = 799.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.