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Finding the Fourth Proportional to 358.42, 493.80 and 295.88

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Solution

The fourth proportional to 358.42, 493.80 and 295.88 is: 407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.42 : 493.80 = 295.88 : x
  2. Step 2: Convert to fraction form
    358.42/493.80 = 295.88/x
  3. Step 3: Cross multiply
    358.42x = 493.80 × 295.88
  4. Step 4: Simplify right side
    358.42x = 146,105.54
  5. Step 5: Solve for x
    x = 146,105.54/358.42
  6. Step 6: Final answer
    x = 407.64

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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.