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Finding the Fourth Proportional to 536.50, 805.29 and 293.23

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Solution

The fourth proportional to 536.50, 805.29 and 293.23 is: 440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.50 : 805.29 = 293.23 : x
  2. Step 2: Convert to fraction form
    536.50/805.29 = 293.23/x
  3. Step 3: Cross multiply
    536.50x = 805.29 × 293.23
  4. Step 4: Simplify right side
    536.50x = 236,135.19
  5. Step 5: Solve for x
    x = 236,135.19/536.50
  6. Step 6: Final answer
    x = 440.14

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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.