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Finding the Fourth Proportional to 363.18, 498.10 and 358.02

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Solution

The fourth proportional to 363.18, 498.10 and 358.02 is: 491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.18 : 498.10 = 358.02 : x
  2. Step 2: Convert to fraction form
    363.18/498.10 = 358.02/x
  3. Step 3: Cross multiply
    363.18x = 498.10 × 358.02
  4. Step 4: Simplify right side
    363.18x = 178,329.54
  5. Step 5: Solve for x
    x = 178,329.54/363.18
  6. Step 6: Final answer
    x = 491.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.