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Finding the Fourth Proportional to 536.27, 803.61 and 506.66

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Solution

The fourth proportional to 536.27, 803.61 and 506.66 is: 759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.27 : 803.61 = 506.66 : x
  2. Step 2: Convert to fraction form
    536.27/803.61 = 506.66/x
  3. Step 3: Cross multiply
    536.27x = 803.61 × 506.66
  4. Step 4: Simplify right side
    536.27x = 407,153.02
  5. Step 5: Solve for x
    x = 407,153.02/536.27
  6. Step 6: Final answer
    x = 759.24

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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.