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Finding the Fourth Proportional to 535.18, 738.54 and 299.14

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Solution

The fourth proportional to 535.18, 738.54 and 299.14 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.18 : 738.54 = 299.14 : x
  2. Step 2: Convert to fraction form
    535.18/738.54 = 299.14/x
  3. Step 3: Cross multiply
    535.18x = 738.54 × 299.14
  4. Step 4: Simplify right side
    535.18x = 220,924.28
  5. Step 5: Solve for x
    x = 220,924.28/535.18
  6. Step 6: Final answer
    x = 412.80

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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.