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Finding the Fourth Proportional to 535.50, 740.34 and 512.55

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Solution

The fourth proportional to 535.50, 740.34 and 512.55 is: 708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 740.34 = 512.55 : x
  2. Step 2: Convert to fraction form
    535.50/740.34 = 512.55/x
  3. Step 3: Cross multiply
    535.50x = 740.34 × 512.55
  4. Step 4: Simplify right side
    535.50x = 379,461.27
  5. Step 5: Solve for x
    x = 379,461.27/535.50
  6. Step 6: Final answer
    x = 708.61

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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.