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Finding the Fourth Proportional to 358.16, 536.22 and 280.40

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Solution

The fourth proportional to 358.16, 536.22 and 280.40 is: 419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.16 : 536.22 = 280.40 : x
  2. Step 2: Convert to fraction form
    358.16/536.22 = 280.40/x
  3. Step 3: Cross multiply
    358.16x = 536.22 × 280.40
  4. Step 4: Simplify right side
    358.16x = 150,353.41
  5. Step 5: Solve for x
    x = 150,353.41/358.16
  6. Step 6: Final answer
    x = 419.80

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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.