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Finding the Fourth Proportional to 337.60, 509.20 and 321.60

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Solution

The fourth proportional to 337.60, 509.20 and 321.60 is: 485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.60 : 509.20 = 321.60 : x
  2. Step 2: Convert to fraction form
    337.60/509.20 = 321.60/x
  3. Step 3: Cross multiply
    337.60x = 509.20 × 321.60
  4. Step 4: Simplify right side
    337.60x = 163,758.72
  5. Step 5: Solve for x
    x = 163,758.72/337.60
  6. Step 6: Final answer
    x = 485.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.