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Finding the Fourth Proportional to 358.28, 536.50 and 297.23

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Solution

The fourth proportional to 358.28, 536.50 and 297.23 is: 445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.28 : 536.50 = 297.23 : x
  2. Step 2: Convert to fraction form
    358.28/536.50 = 297.23/x
  3. Step 3: Cross multiply
    358.28x = 536.50 × 297.23
  4. Step 4: Simplify right side
    358.28x = 159,463.90
  5. Step 5: Solve for x
    x = 159,463.90/358.28
  6. Step 6: Final answer
    x = 445.08

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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.