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Finding the Fourth Proportional to 358.17, 494.10 and 233.90

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Solution

The fourth proportional to 358.17, 494.10 and 233.90 is: 322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.17 : 494.10 = 233.90 : x
  2. Step 2: Convert to fraction form
    358.17/494.10 = 233.90/x
  3. Step 3: Cross multiply
    358.17x = 494.10 × 233.90
  4. Step 4: Simplify right side
    358.17x = 115,567.52
  5. Step 5: Solve for x
    x = 115,567.52/358.17
  6. Step 6: Final answer
    x = 322.66

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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.