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Finding the Fourth Proportional to 337.16, 503.14 and 300.80

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Solution

The fourth proportional to 337.16, 503.14 and 300.80 is: 448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.16 : 503.14 = 300.80 : x
  2. Step 2: Convert to fraction form
    337.16/503.14 = 300.80/x
  3. Step 3: Cross multiply
    337.16x = 503.14 × 300.80
  4. Step 4: Simplify right side
    337.16x = 151,344.51
  5. Step 5: Solve for x
    x = 151,344.51/337.16
  6. Step 6: Final answer
    x = 448.88

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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.