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Finding the Fourth Proportional to 337.06, 505.80 and 304.60

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Solution

The fourth proportional to 337.06, 505.80 and 304.60 is: 457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.06 : 505.80 = 304.60 : x
  2. Step 2: Convert to fraction form
    337.06/505.80 = 304.60/x
  3. Step 3: Cross multiply
    337.06x = 505.80 × 304.60
  4. Step 4: Simplify right side
    337.06x = 154,066.68
  5. Step 5: Solve for x
    x = 154,066.68/337.06
  6. Step 6: Final answer
    x = 457.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.