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Finding the Fourth Proportional to 535.02, 738.34 and 298.98

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Solution

The fourth proportional to 535.02, 738.34 and 298.98 is: 412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.02 : 738.34 = 298.98 : x
  2. Step 2: Convert to fraction form
    535.02/738.34 = 298.98/x
  3. Step 3: Cross multiply
    535.02x = 738.34 × 298.98
  4. Step 4: Simplify right side
    535.02x = 220,748.89
  5. Step 5: Solve for x
    x = 220,748.89/535.02
  6. Step 6: Final answer
    x = 412.60

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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.