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Finding the Fourth Proportional to 329.60, 454.88 and 259.68

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Solution

The fourth proportional to 329.60, 454.88 and 259.68 is: 358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 454.88 = 259.68 : x
  2. Step 2: Convert to fraction form
    329.60/454.88 = 259.68/x
  3. Step 3: Cross multiply
    329.60x = 454.88 × 259.68
  4. Step 4: Simplify right side
    329.60x = 118,123.24
  5. Step 5: Solve for x
    x = 118,123.24/329.60
  6. Step 6: Final answer
    x = 358.38

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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.