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Finding the Fourth Proportional to 535.78, 738.98 and 336.45

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Solution

The fourth proportional to 535.78, 738.98 and 336.45 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.78 : 738.98 = 336.45 : x
  2. Step 2: Convert to fraction form
    535.78/738.98 = 336.45/x
  3. Step 3: Cross multiply
    535.78x = 738.98 × 336.45
  4. Step 4: Simplify right side
    535.78x = 248,629.82
  5. Step 5: Solve for x
    x = 248,629.82/535.78
  6. Step 6: Final answer
    x = 464.06

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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.