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Finding the Fourth Proportional to 337.81, 466.39 and 302.77

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Solution

The fourth proportional to 337.81, 466.39 and 302.77 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.81 : 466.39 = 302.77 : x
  2. Step 2: Convert to fraction form
    337.81/466.39 = 302.77/x
  3. Step 3: Cross multiply
    337.81x = 466.39 × 302.77
  4. Step 4: Simplify right side
    337.81x = 141,208.90
  5. Step 5: Solve for x
    x = 141,208.90/337.81
  6. Step 6: Final answer
    x = 418.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.