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Finding the Fourth Proportional to 536.27, 803.48 and 292.96

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Solution

The fourth proportional to 536.27, 803.48 and 292.96 is: 438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.27 : 803.48 = 292.96 : x
  2. Step 2: Convert to fraction form
    536.27/803.48 = 292.96/x
  3. Step 3: Cross multiply
    536.27x = 803.48 × 292.96
  4. Step 4: Simplify right side
    536.27x = 235,384.03
  5. Step 5: Solve for x
    x = 235,384.03/536.27
  6. Step 6: Final answer
    x = 438.93

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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.