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Finding the Fourth Proportional to 337.96, 504.35 and 301.50

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Solution

The fourth proportional to 337.96, 504.35 and 301.50 is: 449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.96 : 504.35 = 301.50 : x
  2. Step 2: Convert to fraction form
    337.96/504.35 = 301.50/x
  3. Step 3: Cross multiply
    337.96x = 504.35 × 301.50
  4. Step 4: Simplify right side
    337.96x = 152,061.53
  5. Step 5: Solve for x
    x = 152,061.53/337.96
  6. Step 6: Final answer
    x = 449.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.