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Finding the Fourth Proportional to 337.67, 466.26 and 302.64

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Solution

The fourth proportional to 337.67, 466.26 and 302.64 is: 417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.67 : 466.26 = 302.64 : x
  2. Step 2: Convert to fraction form
    337.67/466.26 = 302.64/x
  3. Step 3: Cross multiply
    337.67x = 466.26 × 302.64
  4. Step 4: Simplify right side
    337.67x = 141,106.04
  5. Step 5: Solve for x
    x = 141,106.04/337.67
  6. Step 6: Final answer
    x = 417.88

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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.