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Finding the Fourth Proportional to 535.78, 737.90 and 462.07

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Solution

The fourth proportional to 535.78, 737.90 and 462.07 is: 636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.78 : 737.90 = 462.07 : x
  2. Step 2: Convert to fraction form
    535.78/737.90 = 462.07/x
  3. Step 3: Cross multiply
    535.78x = 737.90 × 462.07
  4. Step 4: Simplify right side
    535.78x = 340,961.45
  5. Step 5: Solve for x
    x = 340,961.45/535.78
  6. Step 6: Final answer
    x = 636.38

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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.