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Finding the Fourth Proportional to 535.32, 738.75 and 299.25

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Solution

The fourth proportional to 535.32, 738.75 and 299.25 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.32 : 738.75 = 299.25 : x
  2. Step 2: Convert to fraction form
    535.32/738.75 = 299.25/x
  3. Step 3: Cross multiply
    535.32x = 738.75 × 299.25
  4. Step 4: Simplify right side
    535.32x = 221,070.94
  5. Step 5: Solve for x
    x = 221,070.94/535.32
  6. Step 6: Final answer
    x = 412.97

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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.