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Finding the Fourth Proportional to 358.68, 493.43 and 314.22

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Solution

The fourth proportional to 358.68, 493.43 and 314.22 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.68 : 493.43 = 314.22 : x
  2. Step 2: Convert to fraction form
    358.68/493.43 = 314.22/x
  3. Step 3: Cross multiply
    358.68x = 493.43 × 314.22
  4. Step 4: Simplify right side
    358.68x = 155,044.00
  5. Step 5: Solve for x
    x = 155,044.00/358.68
  6. Step 6: Final answer
    x = 432.26

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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.