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Finding the Fourth Proportional to 356.58, 491.54 and 238.34

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Solution

The fourth proportional to 356.58, 491.54 and 238.34 is: 328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.58 : 491.54 = 238.34 : x
  2. Step 2: Convert to fraction form
    356.58/491.54 = 238.34/x
  3. Step 3: Cross multiply
    356.58x = 491.54 × 238.34
  4. Step 4: Simplify right side
    356.58x = 117,155.69
  5. Step 5: Solve for x
    x = 117,155.69/356.58
  6. Step 6: Final answer
    x = 328.56

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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.