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Finding the Fourth Proportional to 358.24, 536.94 and 293.35

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Solution

The fourth proportional to 358.24, 536.94 and 293.35 is: 439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 536.94 = 293.35 : x
  2. Step 2: Convert to fraction form
    358.24/536.94 = 293.35/x
  3. Step 3: Cross multiply
    358.24x = 536.94 × 293.35
  4. Step 4: Simplify right side
    358.24x = 157,512.08
  5. Step 5: Solve for x
    x = 157,512.08/358.24
  6. Step 6: Final answer
    x = 439.68

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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.