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Finding the Fourth Proportional to 536.15, 803.60 and 246.98

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Solution

The fourth proportional to 536.15, 803.60 and 246.98 is: 370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.15 : 803.60 = 246.98 : x
  2. Step 2: Convert to fraction form
    536.15/803.60 = 246.98/x
  3. Step 3: Cross multiply
    536.15x = 803.60 × 246.98
  4. Step 4: Simplify right side
    536.15x = 198,467.88
  5. Step 5: Solve for x
    x = 198,467.88/536.15
  6. Step 6: Final answer
    x = 370.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.