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Finding the Fourth Proportional to 337.17, 505.22 and 304.77

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Solution

The fourth proportional to 337.17, 505.22 and 304.77 is: 456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.17 : 505.22 = 304.77 : x
  2. Step 2: Convert to fraction form
    337.17/505.22 = 304.77/x
  3. Step 3: Cross multiply
    337.17x = 505.22 × 304.77
  4. Step 4: Simplify right side
    337.17x = 153,974.38
  5. Step 5: Solve for x
    x = 153,974.38/337.17
  6. Step 6: Final answer
    x = 456.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.