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Finding the Fourth Proportional to 337.08, 507.91 and 277.54

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Solution

The fourth proportional to 337.08, 507.91 and 277.54 is: 418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.08 : 507.91 = 277.54 : x
  2. Step 2: Convert to fraction form
    337.08/507.91 = 277.54/x
  3. Step 3: Cross multiply
    337.08x = 507.91 × 277.54
  4. Step 4: Simplify right side
    337.08x = 140,965.34
  5. Step 5: Solve for x
    x = 140,965.34/337.08
  6. Step 6: Final answer
    x = 418.20

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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.