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Finding the Fourth Proportional to 358.38, 493.76 and 314.64

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Solution

The fourth proportional to 358.38, 493.76 and 314.64 is: 433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.38 : 493.76 = 314.64 : x
  2. Step 2: Convert to fraction form
    358.38/493.76 = 314.64/x
  3. Step 3: Cross multiply
    358.38x = 493.76 × 314.64
  4. Step 4: Simplify right side
    358.38x = 155,357.43
  5. Step 5: Solve for x
    x = 155,357.43/358.38
  6. Step 6: Final answer
    x = 433.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.