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Finding the Fourth Proportional to 358.56, 493.55 and 314.19

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Solution

The fourth proportional to 358.56, 493.55 and 314.19 is: 432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 493.55 = 314.19 : x
  2. Step 2: Convert to fraction form
    358.56/493.55 = 314.19/x
  3. Step 3: Cross multiply
    358.56x = 493.55 × 314.19
  4. Step 4: Simplify right side
    358.56x = 155,066.90
  5. Step 5: Solve for x
    x = 155,066.90/358.56
  6. Step 6: Final answer
    x = 432.47

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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.