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Finding the Fourth Proportional to 358.14, 493.95 and 233.84

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Solution

The fourth proportional to 358.14, 493.95 and 233.84 is: 322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 493.95 = 233.84 : x
  2. Step 2: Convert to fraction form
    358.14/493.95 = 233.84/x
  3. Step 3: Cross multiply
    358.14x = 493.95 × 233.84
  4. Step 4: Simplify right side
    358.14x = 115,506.50
  5. Step 5: Solve for x
    x = 115,506.50/358.14
  6. Step 6: Final answer
    x = 322.52

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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.