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Finding the Fourth Proportional to 358.40, 497.20 and 329.60

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Solution

The fourth proportional to 358.40, 497.20 and 329.60 is: 457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.40 : 497.20 = 329.60 : x
  2. Step 2: Convert to fraction form
    358.40/497.20 = 329.60/x
  3. Step 3: Cross multiply
    358.40x = 497.20 × 329.60
  4. Step 4: Simplify right side
    358.40x = 163,877.12
  5. Step 5: Solve for x
    x = 163,877.12/358.40
  6. Step 6: Final answer
    x = 457.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.