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Finding the Fourth Proportional to 362.30, 503.44 and 358.54

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Solution

The fourth proportional to 362.30, 503.44 and 358.54 is: 498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.30 : 503.44 = 358.54 : x
  2. Step 2: Convert to fraction form
    362.30/503.44 = 358.54/x
  3. Step 3: Cross multiply
    362.30x = 503.44 × 358.54
  4. Step 4: Simplify right side
    362.30x = 180,503.24
  5. Step 5: Solve for x
    x = 180,503.24/362.30
  6. Step 6: Final answer
    x = 498.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.