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Finding the Fourth Proportional to 358.14, 493.86 and 240

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Solution

The fourth proportional to 358.14, 493.86 and 240 is: 330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 493.86 = 240 : x
  2. Step 2: Convert to fraction form
    358.14/493.86 = 240/x
  3. Step 3: Cross multiply
    358.14x = 493.86 × 240
  4. Step 4: Simplify right side
    358.14x = 118,526.40
  5. Step 5: Solve for x
    x = 118,526.40/358.14
  6. Step 6: Final answer
    x = 330.95

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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.