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Finding the Fourth Proportional to 536.72, 805.34 and 293.24

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Solution

The fourth proportional to 536.72, 805.34 and 293.24 is: 440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 805.34 = 293.24 : x
  2. Step 2: Convert to fraction form
    536.72/805.34 = 293.24/x
  3. Step 3: Cross multiply
    536.72x = 805.34 × 293.24
  4. Step 4: Simplify right side
    536.72x = 236,160.10
  5. Step 5: Solve for x
    x = 236,160.10/536.72
  6. Step 6: Final answer
    x = 440.00

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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.