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Finding the Fourth Proportional to 536.51, 803.85 and 293.21

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Solution

The fourth proportional to 536.51, 803.85 and 293.21 is: 439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.51 : 803.85 = 293.21 : x
  2. Step 2: Convert to fraction form
    536.51/803.85 = 293.21/x
  3. Step 3: Cross multiply
    536.51x = 803.85 × 293.21
  4. Step 4: Simplify right side
    536.51x = 235,696.86
  5. Step 5: Solve for x
    x = 235,696.86/536.51
  6. Step 6: Final answer
    x = 439.31

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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.