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Finding the Fourth Proportional to 535.95, 740.34 and 426.83

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Solution

The fourth proportional to 535.95, 740.34 and 426.83 is: 589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.95 : 740.34 = 426.83 : x
  2. Step 2: Convert to fraction form
    535.95/740.34 = 426.83/x
  3. Step 3: Cross multiply
    535.95x = 740.34 × 426.83
  4. Step 4: Simplify right side
    535.95x = 315,995.62
  5. Step 5: Solve for x
    x = 315,995.62/535.95
  6. Step 6: Final answer
    x = 589.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.